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Gubkina str. 8,
119991, Moscow, Russia
Tel.: +7(495) 984 81 41
Fax: +7(495) 984 81 39
Web site: www.mi.ras.ru
E-mail: steklov@mi.ras.ru

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Department of Algebra and Number Theory

| Seminars | History of the Department | Areas of Research | Main Results | Awards | International Relations | Publications |
Staff
Parshin Aleksei Nikolaevich

Doctor Phys.-Math. Sci., Academician, Head of Department
office: 525; tel.: +7 (495) 941 01 79, +7 (495) 984 81 41 * 39 33; e-mail: parshin@mi.ras.ru
Principal fields of research: lgebraic number theory and Galois theory. Algebraic geometry and n-dimensional local fields and their applications to arithmetics, geometry of manifolds, integrable systems, and quatum field theory. History of mathematics.
Parshin Aleksei Nikolaevich
Budylin Roman Yakovlevich

Candidate Phys.-Math. Sci., Scientific Researcher
office: 526; tel.: +7 (495) 984 81 41 * 37 32; e-mail: budylin@yandex.ru
Principal fields of research: Higher-dimensional adeles, algebraic K-theory, arithmetic geometry.
Budylin Roman Yakovlevich
Frolenkov Dmitrii Andreevich

Scientific Researcher
office: 537; tel.: +7 (495) 984 81 41 * 36 07; e-mail: frolenkov_adv@mail.ru
Principal fields of research: analytic number theory; automorphic functions, Kloosterman sums, $L$-functions, continued fractions.
Frolenkov Dmitrii Andreevich
Gorchinskiy Sergey Olegovich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
office: 540; tel.: +7 (499) 941 01 79, +7 (495) 984 81 41 * 39 32; e-mail: gorchins@mi.ras.ru
Principal fields of research: Algebraic geometry, arithmetic geometry, higher-dimensional adeles, K-theory, algebraic cycles.
Gorchinskiy Sergey Olegovich
Korolev Maxim Aleksandrovich

Doctor Phys.-Math. Sci., Senior Scientific Researcher
office: 526; tel.: +7 (495) 984 81 41 * 37 32; e-mail: korolevma@mi.ras.ru
Principal fields of research: Incomplete Kloosterman sums, argument of Riemann's zeta-function, power residues, the average number of power residues, the problem of Lehmer–Landau.
Korolev Maxim Aleksandrovich
Kulikov Viktor Stepanovich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Rsearcher
office: 524; tel.: +7 (495) 941 01 79, +7 (495) 984 81 41 * 36 70; e-mail: kulikov@mi.ras.ru
Principal fields of research: Algebraic geometry and topology of algebraical manifolds.
Kulikov Viktor Stepanovich
Nikulin Vyacheslav Valentinovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
e-mail: nikulin@mi.ras.ru
Personal page: http://vnikulin.com/
Principal fields of research: Algebraic Geometry. Integer-valued quadratic forms generated by reflections in hyperbolic spaces. Automorphic forms. Lorentzian Kac-Moody algebras.
Nikulin Vyacheslav Valentinovich
Osipov Denis Vasil'evich

Doctor Phys.-Math. Sci., Senior Scientific Researcher
office: 540; tel.: +7 (495) 941 01 79, +7 (495) 984 81 41 * 39 32; e-mail: d_osipov@mi.ras.ru
Principal fields of research: Algebraic geometry. Algebraical number theory. Integrable systems.
Osipov Denis Vasil'evich
Popov Vladimir Leonidovich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher
office: 524; tel.: +7 (495) 941 01 79, +7 (495) 984 81 41 * 36 70; e-mail: popovvl@mi.ras.ru
Principal fields of research: Algebraic transformation groups. Invariant theory. Algebraic groups and their representation theory. Homogeneous spaces. Lie groups and Lie algebras. Algebro-geometric aspects of algebraic transformation group theory. Affine algebraic geometry. Automorphism groups of algebraic varieties. Discrete reflection groups.
Popov Vladimir Leonidovich
Rezvyakova Irina Sergeevna

Candidate Phys.-Math. Sci., Scientific Researcher
office: 526; tel.: +7 (495) 984 81 41 * 37 32; e-mail: rezvyakova@mi.ras.ru
Principal fields of research: Analytic number theory.
Rezvyakova Irina Sergeevna
Shafarevich Igor Rostislavovich

Doctor Phys.-Math. Sci., Academician, Chief Scientific Researcher
office: 523; tel.: +7 (495) 941 01 79, +7 (495) 984 81 41 * 39 32; e-mail: shafarev@mi.ras.ru
Personal page: http://www.mi.ras.ru/~shafarev
Principal fields of research: Algebraic number theory. Algebraic geometry. Theory of Lie groups and Lie algebras. Commutative and associative algebras.
Shafarevich Igor Rostislavovich
Shkredov Il'ya Dmitrievich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 537; tel.: +7 (495) 984 81 41 * 36 07; e-mail: ilya.shkredov@gmail.com, ishkredov@rambler.ru
Personal page: http://www.mi.ras.ru/~ishkredov/
Principal fields of research: Additive combinatorics, number theory, ergodic number theory.
Shkredov Il'ya Dmitrievich

Abrashkin Viktor Aleksandrovich

Doctor Phys.-Math. Sci., Out-Of-Staff Member
e-mail: victor.abrashkin@durham.ac.uk
Personal page: http://maths.dur.ac.uk/~dma0va/
Principal fields of research: Galois moduli of finite group schemes. $p$-Adic representations for the Galois group of local fields. The Iwasawa theory. Theory of $p$-extensions of local and global fields. Highest theory of branching.
Mikhailov Roman Valer'evich

Doctor Phys.-Math. Sci., Out-Of-Staff Member
e-mail: rmikhailov@mail.ru
Principal fields of research: Group theory, topology, category theory, algebraic K-theory.

Arkhipov Gennadii Ivanovich (12.12.1945 – 14.03.2013)

Doctor Phys.-Math. Sci.

Principal fields of research: Number theory, mathematical analysis.
Iskovskikh Vasilii Alekseevich (1.07.1939 – 4.01.2009)

Doctor Phys.-Math. Sci., Corresponding Member of RAS

Principal fields of research: Rationality problem, birational rigidity, birational classification.
Karatsuba Anatolii Alekseevich (31.01.1937 – 28.09.2008)

Doctor Phys.-Math. Sci.

Personal page: http://www.mi.ras.ru/~karatsuba
Principal fields of research: Analytic number theory and mathematical cybernetics.
Kostrikin Aleksei Ivanovich (12.02.1929 – 22.09.2000)

Doctor Phys.-Math. Sci., Corresponding Member of USSR Academy of Sciences
Tyurin Andrei Nikolaevich (24.02.1940 – 27.10.2002)

Doctor Phys.-Math. Sci., Corresponding Member of RAS
Voronin Sergei Mikhailovich (11.03.1948 – 18.10.1997)

Doctor Phys.-Math. Sci.
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Seminars
Seminar of the Department of Algebra and Number Theory and of the Department of Algebraic Geometry (Shafarevich Seminar)
Seminar on Arithmetic Algebraic Geometry
Seminar Chairman: A. N. Parshin
Steklov Mathematical Institute, Room 540 (8 Gubkina)
Contemporary Problems in Number Theory
Seminar Chairmen: S. V. Konyagin; I. D. Shkredov; Seminar Secretary: Yu. V. Malykhin
Steklov Mathematical Institute, Room 530 (8 Gubkina)

Seminar of the Department of Algebra
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History of the Department

The Department of Algebra was created in the middle of 1930's. B. N. Delone was the first head. The list of people working at the department in the late 1930's and 1940's includes: O. Yu. Schmidt, S. A. Chunikhin, I. M. Gelfand, A. I. Malcev.

Starting from 1946 I. R. Shafarevich is working at the department, being its head from 1960 to 1995. Many people in the department are his pupils: A. I. Lapin (1950 and 1957–1969), A. I. Kostrikin (1956–2000; starting from 1977 he was also the head of the Chair of Algebra at the Moscow State University), S. P. Demushkin (1959–1975), A. B. Zhizhchenko (1959–1965), Yu. I. Manin (since 1960), A. N. Tyurin (1963–2002), V. A. Demyanenko (1967–1969), A. N. Parshin (since 1968, starting from 1995 he is the head of the department), S. Yu. Arakelov (PhD student from 1971 to 1974), V. V. Nikulin (1987–2002, out-of-staff member since 2002), V. A. Kolyvagin (1988–2004, out-of-staff member from 2004 to 2011), V. A. Abrashkin (1996–2002, out-of-staff member since 2002), Vik. S. Kulikov (PhD student from 1974 to 1977, then a member since 1997).

The following people have been working at the department: S. P. Novikov (1960–1975), F. A. Bogomolov (PhD student from 1970 to 1973, employee from 1973 to 1993, out-of-staff member until 2011), M. M. Kapranov (1986–1990), S. A. Stepanov (1987–2000), A. T. Fomenko (1998–2001).

Now the following people also work at the department: A. I. Bondal (since 1994), D. O. Orlov (since 1996), D. V. Osipov (since 1999), V. L. Popov (since 2002), D. B. Kaledin (since 2002), A. G. Kuznetsov (since 2002), R. V. Mikhailov (since 2004), V. V. Shokurov (since 2004), S. O. Gorchinskiy (since 2007), C. A. Shramov (since 2008), I. D. Shkredov (since 2010), A. I. Efimov (since 2010).

In 2009 the Department of Algebra was united with the Department of Number Theory. The following people have thus entered the department: G. I. Arkhipov, M. M. Grinenko (out-of-staff member since 2011), M. A. Korolev, V. V. Przyjalkowski, A. V. Pukhlikov, I. S. Rezvyakova.

In 2012 the Department of Algebraic Geometry was created on the base of the Department of Algebra and Number Theory. The following people are the members of the new department: D. O. Orlov (head of the department), A. I. Bondal, M. M. Grinenko, A. I. Efimov, D. B. Kaledin, A. G. Kuznetsov, V. V. Przyjalkowski, A. V. Pukhlikov, V. V. Shokurov, C. A. Shramov.

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Areas of Research

Algebraic number theory, Galois theory, Lie groups and Lie algebras, theory of algebraic groups, algebraic geometry (especially the category theory of coherent sheaves, birational geometry, invariant theory), arithmetic of algebraic varieties, algebraic and differential topology, mathematical physics, combinatorial group theory, homological algebra, representations of groups, mirror symmetry, theory of adeles.

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Main Results
1. Algebraic number theory and Galois theory
  • Construction of a general reciprocity law (I. R. Shafarevich, A. I. Lapin), solution of the inverse problem of the Galois theory for solvable groups (I. R. Shafarevich).
  • Description of p-extensions of local and global fields (I. R. Shafarevich, S. P.  Demushkin, H. Koch), solution of the problem of class field tower (E. S. Golod and I. R. Shafarevich), the structure of the Galois group for local fields (V. A. Abrashkin).
  • Theory of Euler systems (V. A. Kolyvagin).
2. Lie groups and Lie algebras
  • Semi-simple subgroups of Lie groups, nilmanifolds (A. I. Malcev).
  • Theory of infinite-dimensional representations of classical Lie groups (I. M. Gelfand and M. A. Naimark).
  • Solution of the weak Burnside problem for an arbitrary prime exponent (A. I. Kostrikin).
  • Classification of simple Lie algebras in the positive characteristic (A. I. Kostrikin and I. R. Shafarevich).
  • Integral lattices and orthogonal decompositions of Lie algebras (A. I. Kostrikin).
  • Theory of Kac–Moody Lorentz algebras (V. A. Gritsenko, V. V. Nikulin).
3. Algebraic geometry
  • Geometry of algebraic varieties: pencils of elliptic curves (I. R. Shafarevich), the Gauss–Manin connection (Yu. I. Manin), finiteness theorems for families of curves (A. N. Parshin and S. Yu. Arakelov).
  • Theory of vector bundles: classification and Torelli type theorems for vector bundles over algebraic curves, the problem of a bundle of quadrics, vector bundles over an infinite-dimensional projective space (A. N. Tyurin).
  • Theory of algebraic K3 surfaces and manifolds with a trivial canonical class: Torelli theorem (I. I. Piatetski-Shapiro, I. R. Shafarevich), structure of K3 surfaces in positive characteristic (A. N. Rudakov, I. R. Shafarevich), group of automorphisms, topological classification (V. V. Nikulin), surjectivity of the period map (V. S. Kulikov), classification of complex manifolds with trivial canonical class (F. A. Bogomolov).
  • Solution of three-dimensional Lroth problem (V. A. Iskovskikh, Yu. I. Manin).
  • Flat and projective structures on Riemann surfaces (A. N. Tyurin).
  • Theory of stable vector bundles on algebraic varieties (F. A. Bogomolov).
  • Arithmetic groups in hyperbolic spaces and integral lattices (V. V. Nikulin).
  • Smooth invariants of algebraic surfaces (V. Y. Pidstrigach, A. N. Tyurin).
  • Derived categories of coherent sheaves on algebraic varieties and equivalences between them for varieties with ample and anti-ample canonical class, as well as for abelian varieties (M. M. Kapranov, A. I. Bondal, D. O. Orlov).
  • Derived categories of coherent sheaves on a symplectic resolution of an arbitrary singularity (D. B. Kaledin).
  • Theorem on integral kernel for an equivalence between derived categories of coherent sheaves on possibly singular projective varieties (D. O. Orlov, V. A. Lunts).
  • Theory of homological projective duality (A. Kuznetsov).
  • Derived categories of coherent sheaves on isotropic Grassmannians (A. G. Kuznetsov, A. E. Polishchuk).
  • Prym varieties, their difference with Jacobians, and applications to the three-dimensional birational geometry (V. V. Shokurov).
  • Minimal model program and its applications to higher-dimensional geometry. Moduli of polarized log pairs and positivity of the module part in the adjunction formula (V. V. Shokurov).
  • Application of unramified Brauer group to the unirationality problem for algebraic varieties (F. A. Bogomolov).
  • Topology of algebraic surfaces: Chisini conjecture for generic projections of algebraic surfaces onto projective plane, counterexamples in deformation theory, description of components of the Hurwitz spaces of coverings of algebraic curves (Vik. S. Kulikov).
  • Birational geometry of Fano varieties: description of the structures of a rationally connected fibration on Fano double spaces of index 2 and dimension 5 and above, computation of the group of birational automorphisms and the proof of non-rationality (A. V. Pukhlikov).
  • Invariant theory: algebraic groups as groups of automorphisms of algebras, solution of the problem of rationality of the function field on a connected semisimple algebraic group over the subfield of central functions, description of Cayley groups (V. L. Popov).
  • Applications of algebraic geometry and Tannakian categories to the differential Galois theory, parametrized Picard–Vessiot extensions (S. O. Gorchinskiy, A. I. Ovchinnikov).
  • Deformation quantization of algebraic varieties over a field of positive characteristic. Noncommutative analogues of the Cartier morphism and the Frobenius map for cyclic homology (D. B. Kaledin).
4. Arithmetic of algebraic varieties
  • Diophantine equations of degree three (B. N. Delone and D. K. Faddeev).
  • Arithmetic of elliptic curves and abelian varieties: theory of principal homogeneous spaces (I. R. Shafarevich), unboundedness of rank over function fields (A. I. Lapin), boundedness of p-torsion of elliptic curves (Yu. I. Manin), estimates for the torsion of elliptic curves (V. A. Demyanenko), canonical heights of abelian varieties (A. N. Parshin), l-adic representations of Galois groups associated with abelian varieties, the group of points of finite order (F. A. Bogomolov), proof of the nonexistence of smooth abelian schemes over Z (V. A. Abrashkin).
  • Finiteness theorems in Diophantine geometry: proof of the Mordell conjecture on rational points over function fields (Yu. I. Manin), method of ramified coverings (A. N. Parshin), finiteness of the Tate–Shafarevich group for modular curves (V. A. Kolyvagin).
  • Arithmetic surfaces (Arakelov geometry).
  • Arithmetic of rational and cubic surfaces (Yu. I. Manin, V. A. Iskovskikh).
  • Theory of p-adic L-functions and modular forms (Yu. I. Manin).
  • Theory of n-dimensional local fields and its applications to class field theory, vector bundles and the theory of algebraic groups (A. N. Parshin).
  • Theory of adeles: measure theory and harmonic analysis on adelic spaces of two-dimensional schemes (D. V. Osipov, A. N. Parshin), symbols and reciprocity laws (D. V. Osipov), adelic resolutions for sheaves (S. O. Gorchinskiy, D. V. Osipov).
5. Algebraic and differential topology
  • Theory of cohomological operations. Description of complex cobordisms. Classification of simply connected smooth manifolds of dimension ≷ 4. Proof of topological invariance of Pontryagin classes. Theory of foliations on smooth manifolds. Foundations of Hermitian K-theory (S. P. Novikov).
  • Theory of derived functors for non-additive functors (R. V. Mikhailov, L. Breen).
  • Functorial methods in the unstable homotopy theory (R. V. Mikhailov).
6. Mathematical physics
  • Solution of the periodic problem for the KdV equation by methods of algebraic geometry (S. P. Novikov).
  • Classification of instantons (V. G. Drinfeld, Yu. I. Manin).
  • Models of classical field theory: supergeometry, the Yang–Mills theory, and string theory (Yu. I. Manin, M. M. Kapranov).
  • Description of instantons on noncommutative spaces and noncommutative twistor transform (A. Kapustin, A. G. Kuznetsov, D. O. Orlov).
  • Homological mirror symmetry and the category of D-branes for Landau–Ginzburg models (D. O. Orlov). Homological mirror symmetry for curves of genus greater than one (A. I. Efimov) and del Pezzo surfaces (D. O. Orlov).
7. Combinatorial group theory and applications
  • Theory of central series for groups (R. V. Mikhailov).
  • Description of homotopy groups of spheres in terms of group theory (R. V. Mikhailov, J. Wu).
8. Representation theory
  • Moduli space of representations of Lie algebras in positive characteristic (I. R. Shafarevich, A. N. Rudakov).
  • Classification and character theory for irreducible representations with finite weight of discrete Heisenberg groups (A. N. Parshin, S. A. Arnal).
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Awards

Among the members of the department there are recipients of the Fields Medal (S. P. Novikov), the Lenin Prize (I. R. Shafarevich, Yu. I. Manin, S. P. Novikov), the State USSR Prize (A. I. Kostrikin, S. A. Stepanov), the Lomonosov Prize (A. I. Kostrikin), the Alexander von Humboldt Prize (A. N. Parshin), the European Mathematical Society Prize (A. G. Kuznetsov), Russian Federation President Prize in Science and Innovation for Young Scientists (A. G. Kuznetsov) and others.

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International Relations
Department members have been repeatedly invited to the International Congresses of Mathematicians as speakers:
I.R.Shafarevich (Stokholm,1962; Nice,1970),
A.I.Kostrikin (Stokholm,1962; Nice,1970),
S.P.Novikov (Stokholm,1962; Moscow,1966; Nice,1970),
Yu.I.Manin (Stokholm,1962; Nice,1970; Helsinki,1978; Berkeley,1986),
A.N.Parshin (Nice,1970),
S.Yu.Arakelov (Vancouver,1974),
F. A. Bogomolov (Helsinki, 1978),
V. V. Nikulin (Berkeley, 1986),
V. L. Popov (Berkeley, 1986),
V. A. Kolyvagin (Kioto, 1990),
A. I. Bondal (Pekin, 2002),
D. O. Orlov (Pekin, 2002),
D. B. Kaledin (Hyderabad, 2010).
The Department of Algebra and Number Theory has many relations with Russian and foreign mathematicians. Department visitors include:
V. Alexeev, A. N. Andrianov, R. V. Bezrukavnikov, A. A. Beilinson, N. A. Vavilov, B. B. Venkov, A. M. Vershik, V. A. Voevodsky, V. E. Voskresensky, S. V. Vostokov, V. Ginzburg, V. A. Gritsenko, V. I. Guletskii, A. S. Dzhumadildaev, N. V. Durov, Yu. L. Ershov, Yu. G. Zarhin, M. M. Kapranov, A. A. Klyachko, M. L. Kontsevich, V. A. Lunts, S. A. Merkulov, I. A. Panin, A. A. Panchishkin, F. V. Petrov, V. P. Platonov, A. E. Polishchuk, Yu. G. Prokhorov, A. A. Rosly, A. N. Skorobogatov, A. L. Smirnov, S. G. Tankeev, A. S. Tikhomirov, N. A. Tyurin, L. D. Faddeev, V. M. Kharlamov, I. A. Cheltsov, V. I. Janchevsky, W. Baily, L. Bers, L. Breen, F. Campana, J. W. S. Cassels, A. Corti, P. Deligne, H. Esnault, G. van der Geer, D. Gieseker, Ph. Griffiths, M. Harris, M. Hazewinkel, F. Hirzebruch, R. Holzapfel, E. Kaehler, E. Kani, L. Katzarkov, B. Keller, H. Koch, S. Lang, R. P. Langlands, R. MacPherson, Y. Miyaoka, D. Mumford, M. S. Narasimhan, A. Neeman, H. Opolka, T. Pantev, I. B. Passi, G. Prasad, M. Raghunathan, M. Reid, N. Schappacher, T. Shioda, J.-P. Serre, C. S. Seshadri, J. Tate, A. Todorov, J.-L. Verdier, E. Vieweg, M. Wodzicki, G. Wuestholz, D. Zagier, E.-W. Zink, T. Zink, and many others.
The department actively cooperates with many institutes and universities, including:
Moscow State University, Novosibirsk State University, Independent University of Moscow, St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University, Yaroslavl State Pedagogical University, ETH (Switzerland), Harish-Chandra Research Institute (India), IAS (U.S.A.), IHES (France), IPMU (Japan), ICTP (Italy), London Imperial College (UK), MPIM (Germany), POSTECH (South Korea), Punjab University (India), RIMS (Japan), TIFR (India), University of Durham (UK), University of Edinburgh (UK), University of Liverpool (UK), University of Warwick (UK), University of Vienna (Austria).
Recent publications

Steklov Mathematical Institute staff Steklov Mathematical Institute staff and out-of-staff employees
| by years | scientific publications | by types |


   2015
1. M. A. Korolëv, “Bolshie znacheniya dzeta-funktsii Rimana na korotkikh promezhutkakh kriticheskoi pryamoi”, Doklady Akademii nauk, 460:6 (2015) (to appear)

   2014
2. V. V. Nikulin, “Elliptic fibrations on K3 surfaces”, Proc. Edinb. Math. Soc. (2), 57:1 (2014), 253–267  crossref  mathscinet  zmath  isi
3. V. V. Nikulin, Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, 2014, 70 pp., arXiv: 1403.6061v3
4. V. V. Nikulin, “Kahlerian K3 surfaces and Niemeier lattices”, Workshop: Automorphic forms, Lie algebras and String theory (Lille University II, March 3–6), Lille, France, 2014, 28 pp., http://www.ihes.fr/~vanhove/Lille2014/index.html
5. V. V. Nikulin, “Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups”, Conference: Moduli spaces of real and complex varieties (Angers University, June 2–6), Angers, France, 2014, 1 pp., http://www.math.univ-angers.fr/~mangolte/Angers-2014-abstracts.pdf
6. H. Kurke, D. Osipov, A. Zheglov, “Commuting differential operators and higher-dimensional algebraic varieties”, Selecta Math. (N.S.), 20:4 (2014), 1159–1195, arXiv: 1211.0976  crossref  mathscinet
7. Denis Osipov, Xinwen Zhu, “The two-dimensional Contou-Carrère symbol and reciprocity laws”, Journal of Algebraic Geometry, 2014 (to appear) , arXiv: 1305.6032
8. Vik. S. Kulikov, V. M. Kharlamov, “On numerically pluricanonical cyclic coverings”, Izv. Math., 78:5 (2014), 986–1005  mathnet  crossref  crossref  isi
9. Vik.S. Kulikov, On the Galois groups of the dualizing coverings for plane curves, 2014, 10 pp., arXiv: 1403.1426
10. F.A. Bogomolov, Vik.S. Kulikov, The ambiguity index of an equipped finite group, 2014, 18 pp., arXiv: 1404.5763
11. V. S. Kulikov, “Chislenno kratnokanonicheskie tsiklicheskie nakrytiya”, V Rossiisko-armyanskoe soveschanie po matematicheskoi fizike, kompleksnomu analizu i smezhnym voprosam (28 sentyabrya – 3 oktyabrya 2014 g., Erevan), Erevan, 2014, 32–33
12. Victor Kulikov, Eugenii Shustin, Duality of planar and spacial curves: new insight, 2014, 20 pp., arXiv: 1412.1944
13. M. A. Korolev, “On small values of the Riemann zeta-function at Gram points”, Sb. Math., 205:1 (2014), 63–82  mathnet  crossref  crossref  mathscinet  isi
14. M. A. Korolev, “Moments of trigonometric polynomials and their applications in the theory of the Riemann zeta-function”, Dokl. Math., 89:3 (2014), 305–307  crossref  crossref  isi
15. M. A. Korolev, “On large values of the Riemann zeta-function on short segments of the critical line”, Acta Arithm., 166:4 (2014), 349–390, arXiv: 1404.6649  crossref  zmath
16. V. L. Popov, Finite subgroups of diffeomorphism groups, 2014, 7 pp., arXiv: 1310.6548
17. V. L. Popov, “Quotients by conjugation action, cross-sections, singularities,and representation rings”, Representation Theory and Analysis of Reductive Groups: Spherical Spaces and Hecke Algebras (Mathematisches Forschungsinstitut Oberwolfach, 19 January – 25 January 2014), Oberwolfach Reports, Report No. 3/2014, DOI: 10.4171/OWR/2014/03, 11, no. 1, European Mathematical Society, 2014, 12–15, http://www.mfo.de/occasion/1404/www_view
18. V. L. Popov, “On infinite dimensional algebraic transformation groups”, Transform. Groups, 19:2, special issue dedicated to E. B. Dynkin's 90th anniversary (2014), 549–568, arXiv: 1401.0278  crossref  mathscinet  zmath  isi
19. V. L. Popov, “Jordan groups and automorphism groups of algebraic varieties”, Springer Proceedings in Mathematics & Statistics, 79, Automorphisms in Birational and Affine Geometry (2014), 185–213, arXiv: 1307.5522  crossref
20. N. A. Vavilov, È. B. Vinberg, I. A. Panin, A. N. Panov, A. N. Parshin, V. P. Platonov, V. L. Popov, “Valentin Evgen'evich Voskresenskii (obituary)”, Russian Math. Surveys, 69:4 (2014), 753–754  mathnet  crossref  crossref
21. V. L. Popov, Around the Abhyankar–Sathaye conjecture, 2014, 14 pp., arXiv: 1409.6330
22. V. L. Popov, “Jordaness of the automorphism groups of varieties and manifolds”, Modern Problems of Mathematics and Natural Sciences (Koryazhma, September 15–18, 2014), Northern (Arctic) Federal M. V. Lomonosov University, Koryazhma, 2014, 66–70
23. Vladimir L. Popov, Generic algebras: rational parametrization and normal forms, 2014, 18 pp., arXiv: 1411.6570
24. N. N. Andreev, V. M. Buchstaber, A. I. Garber, V. V. Kozlov, S. P. Konovalov, A. A. Mal'tsev, Yu. V. Nesterenko, S. P. Novikov, A. N. Parshin, I. Kh. Sabitov, A. L. Semenov, A. G. Sergeev, O. K. Sheinman, M. I. Shtogrin, E. V. Shchepin, “Nikolai Petrovich Dolbilin (on his 70th birthday)”, Russian Math. Surveys, 69:1 (2014), 181–182  mathnet  crossref  crossref  mathscinet  isi  elib
25. A. N. Parshin, “A holomorphic version of the Tate-Iwasawa method for unramified $L$-functions. I”, Sb. Math., 205:10 (2014), 1473–1491  mathnet  crossref
26. T. Schoen, I. D. Shkredov, “Roth's theorem in many variables”, Israel J. Math., 199:1 (2014), 287–308, arXiv: 1106.1601v1  crossref  mathscinet  zmath  isi  scopus
27. I. D. Shkredov, “Sumsets in quadratic residues”, Acta Arith., 164:3 (2014), 221–243, arXiv: 1305.4093v1  crossref  mathscinet (cited: 1)  zmath  isi (cited: 1)
28. I. D. Shkredov, “On exponential sums over multiplicative subgroups of medium size”, Finite Fields Appl., 30 (2014), 72–87  crossref  mathscinet  zmath  isi
29. S. Gorchinskiy, A. Ovchinnikov, “Isomonodromic differential equations and differential categories”, J. Math. Pures Appl. (9), 102:1 (2014), 48–78, arXiv: 1202.0927  crossref  mathscinet (cited: 2)  zmath  isi
30. S. Gorchinskiy, A. Rosly, “A polar complex for locally free sheaves”, Int. Math. Res. Not. IMRN, 2014 (to appear) , arXiv: 1101.5114  crossref
31. R. Ya. Budylin, “Conjugacy classes in discrete Heisenberg groups”, Sb. Math., 205:8 (2014), 1069–1079  mathnet  crossref  crossref  isi
32. I. D. Kan, D. A. Frolenkov, “A strengthening of a theorem of Bourgain and Kontorovich”, Izv. Math., 78:2 (2014), 293–353  mathnet  crossref  crossref  mathscinet  zmath  isi
33. D. A. Frolenkov, I. D. Kan, “A strengthening of a theorem of Bourgain-Kontorovich II”, Mosc. J. Comb. Number Theory, 4:1 (2014), 78–117

   2013
34. F. A. Bogomolov, F. Kataneze, Yu. I. Manin, S. Yu. Nemirovskii, V. V. Nikulin, A. N. Parshin, V. V. Przhiyalkovskii, Yu. G. Prokhorov, M. Teikher, A. S. Tikhomirov, V. M. Kharlamov, I. A. Cheltsov, I. R. Shafarevich, V. V. Shokurov, “Viktor Stepanovich Kulikov (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 68:2(410) (2013), 205–207  mathnet  crossref  mathscinet  zmath  adsnasa  elib
35. V. V. Nikulin, “Kählerian K3 surfaces and Niemeier lattices. I”, Izv. Math., 77:5 (2013), 954–997  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
36. V. V. Nikulin, “Kahlerian K3 surfaces and Niemeier lattices”, The 6th MSJ-SI-Development of Moduli Theory, Conference dedicated to 60th birthday of Mukai (Kyoto, RIMS, 17–21 June 2013), Research Institute of Mathematical Sciences (RIMS), Kyoto University, Japan, 2013, 1
37. V. V. Nikulin, “Kahlerian K3 surfaces and Niemeier lattices”, Project: Mock modular forms, Moonshine and String Theory, 2013 (New York State, USA, 25 September 2013), Simons Center for Geomery and Physics, Stony Brook University, 2013, 1–1
38. S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, Russian Math. Surveys, 68:1 (2013), 189–197  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
39. D. V. Osipov, “The unramified two-dimensional Langlands correspondence”, Izv. Math., 77:4 (2013), 714–741, arXiv: 1210.3780  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus
40. D. V. Osipov, “Noncommutative reciprocity laws on algebraic surfaces: the case of tame ramification”, Sb. Math., 204:12 (2013), 1797–1810, arXiv: 1307.1995  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
41. D. V. Osipov, “Dvumernoe sootvetstvie Lenglendsa”, Algebra i teoriya chisel: sovremennye problemy i prilozheniya: Tezisy dokladov XI Mezhdunarodnoi konferentsii (Saratov, 9–14 sentyabrya 2013 g.), ISBN 978-5-292-04189-4, Izdatelstvo Saratovskogo universiteta, Saratov, 2013, 64–65, old.sgu.ru/files/nodes2013/67438/Tezis.pdf
42. D. V. Osipov, “Vvedenie v teoriyu vysshikh adelei”, programma lektsii, Letnyaya shkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlya molodykh uchenykh Rossii (Yaroslavl, YaGPU, 20–25 maya 2013 g.), Matematicheskii institut im. V. A. Steklova RAN, Moskva, 2013, 8–9
43. D. V. Osipov, Kategornye metody v teorii vysshikh adelei i ikh primenenie, Diss. … dokt. fiz.-matem. nauk, Matematicheskii institut im. V. A. Steklova RAN, Moskva, 2013, 195 pp., avtoreferat dissertatsii
44. Vik. S. Kulikov, “Factorizations in finite groups”, Sb. Math., 204:2 (2013), 237–263  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
45. Vik. S. Kulikov, V. M. Kharlamov, “Covering semigroups”, Izv. Math., 77:3 (2013), 594–626  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  scopus
46. F. Bogomolov, V. S. Kulikov, “On the irreducibility of Hilbert scheme of surfaces of minimal degree”, Cent. Eur. J. Math., 11:2 (2013), 254–263  crossref  mathscinet  zmath  isi  elib  scopus
47. Vik. S. Kulikov, “Covering semigroups”, Complex Algebraic Geometry (Mathematisches Forschungsinstitut Oberwolfach, 26 May – 1 June 2013), Oberwolfach Reports, Report No. 27/2013, 10, no. 2, European Mathematical Society, 2013, 1595–1598, http://www.mfo.de/occasion/1322/www_view  crossref
48. A. A. Karatsuba, “Comments to My Works,Written by Myself”, Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S1–S23  mathnet  crossref  crossref  isi
49. I. R. Shafarevich, “A problem about the tenth discriminant”, Algebra i analiz, 25:4 (2013), 260–277  mathnet  mathscinet  elib; I. R. Shafarevich, “A problem about the tenth discriminant”, St. Petersburg Math. J., 25:4 (2014), 699–711  crossref  mathscinet
50. M. A. Korolev, “On new results related to Gram's law”, Izv. Math., 77:5 (2013), 917–940  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
51. M. A. Korolev, Upper and lower bounds for the function $S(t)$ on the short intervals, 2013, 11 pp., arXiv: 1302.0352  adsnasa
52. F. Götze, D. Kaliada, M. Korolev, On the number of integral quadratic polynomials with bounded heights and discriminants, 2013, 14 pp., arXiv: 1308.2091 (in Russian)  adsnasa
53. J. Kalpokas, M. A. Korolev, J. Steuding, “Negative values of the Riemann zeta function on the critical line”, Mathematika, 59:2 (2013), 443–462, arXiv: 1109.2224v3  crossref  mathscinet (cited: 2)  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  scopus
54. M. A. Korolev, “On the moments of some trigonometric sums”, 28th Journees Arithmetiques, Programme and Abstract book (Grenoble, France, July 1–5, 2013), Institut Fourier - University Joseph Fourier, 2013, 58–59
55. M. A. Korolev, “On $L_p$-norms of certain trigonometric polynomials”, Palanga Conference in Combinatorics and Number Theory, Program and abstract book (Palanga, Lithuania, September 01–07, 2013), 2013, 24–26 (Supported by Yandex, Vilnius University and Moscow Journal of Combinatorics and Number Theory)
56. M. A. Korolëv, Zakon Grama v teorii dzeta-funktsii Rimana, Avtoreferat diss. … dokt. fiz.-matem. nauk, MIAN, M., 2013, http://www.mi.ras.ru/dis/ref13/korolev_ref.pdf
57. V. L. Popov, “Tori in the Cremona groups”, Izv. Math., 77:4, special issue on the occasion of I. R. Shafarevich's 90th anniversary (2013), 742–771  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
58. V. L. Popov, “Some subgroups of the Cremona groups”, Affine algebraic geometry, Proceedings of the conference on the occasion of M. Miyanishi's 70th birthday (Osaka, Japan, 3–6 March 2011), World Scientific Publishing Co., Singapore, 2013, 213–242  isi (cited: 1)
59. V. L. Popov, “Algebraic groups and the Cremona group”, Algebraic groups (Mathematisches Forschungsinstitut Oberwolfach, 7 April – 13 April 2013), Oberwolfach Reports, Report No. 17/2013, DOI: 10.4171/OWR/2013/17, 10, no. 2, European Mathematical Society, 2013, 1053–1055, http://www.mfo.de/occasion/1315/www_view
60. V. L. Popov, “Rationality and the FML invariant”, Journal of the Ramanujan Mathematical Society, 28A (2013), 409–415, http://www.mathjournals.org/jrms/2013-028-000/2013-28A-SPL-017.html (special Issue-2013 dedicated to C. S. Seshadri's 80th birthday)  mathscinet (cited: 1)  zmath  isi (cited: 1)
61. A. N. Parshin, “Generalizations of the Langlands program”, Lecture course, The Langlands program and adelic theory (June 1–8, 2013, SPb), Euler Mathematical Institute, 2013, http://www.pdmi.ras.ru/EIMI/2013/Lpat/schedule.html
62. A. N. Parshin, “Base change and automorphic induction in relative dimension 1”, The Langlands program and adelic theory (June 10–14, 2013, SPb), Euler Mathematical Institute, 2013, http://www.pdmi.ras.ru/EIMI/2013/Lpat/abstracts.pdf
63. A. N. Parshin, “Teoriya predstavlenii i algebraicheskaya geometriya (novyi vzglyad na starye zadachi)”, I. M. Gelfand i sovremennaya matematika (17–19 dekabrya 2013 g.), MGU, 2013, http://gelfand100.mech.math.msu.su/cgi-bin/gelfand100.fcgi?lang=ru&page=abstracts
64. A. N. Parshin, O tak nazyvaemykh reformakh (intervyu), Expert-online, 2 iyulya, 2013, http://expert.ru/2013/07/2/uchenyie-o-reforme-ran-chast-3/
65. A. N. Parshin (sost.), Rossiiskaya Akademiya nauk. Khronika protesta. Iyun-iyul 2013, Nauka, M., 2013, 368 pp., http://www.mi.ras.ru/news/13/RANprotest2013_2ed-1.pdf
66. A. N. Parshin, Kak izmeryat uchenykh?, Russkii reporter, 22 oktyabrya, 2013, http://rusrep.ru/article/2013/10/22/ran/
67. A. N. Parshin, Urok angliiskogo dlya ministra obrazovaniya, Ekho Moskvy, 23 oktyabrya, 2013, http://echo.msk.ru/blog/parshin_a/1183156-echo/
68. A. N. Parshin, Akademiya dolzhna govorit o sebe gromko: RAN = S-300, Ekho Moskvy, 16 noyabrya, 2013, http://echo.msk.ru/blog/parshin_a/1199317-echo/
69. T. Schoen, I. D. Shkredov, “Higher moments of convolutions”, J. Number Theory, 133 (2013), 1693–1737  crossref  mathscinet (cited: 8)  zmath  isi (cited: 5)  elib (cited: 1)  scopus
70. I. D. Shkredov, “Some new inequalities in additive combinatorics”, Mosc. J. Comb. Number Theory, 3:3-4 (2013), 189–239 [425–475], arXiv: 1208.2344v3
71. I. D. Shkredov, On exponential sums over multiplicative subgroups of medium size, 2013, 14 pp., arXiv: 1311.5726v1
72. I. D. Shkredov, New bounds for Heilbronn's exponential sum, 2013, 14 pp., arXiv: 1302.3839v1
73. I. D. Shkredov, Tr. Mosk. Mat. Obs., 74, no. 1, MCCME, M., 2013, 35–73  mathnet
74. I. D. Shkredov, “On Heilbronn's exponential sum”, Q. J. Math., 64:4 (2013), 1221–1230  crossref  mathscinet  zmath  isi (cited: 1)
75. S. Gorchinskiy, V. Guletskii, “Non-trivial elements in the Abel–Jacobi kernels of higher-dimensional varieties”, Adv. Math., 241 (2013), 162–191, arXiv: 1009.1431  crossref  mathscinet  isi  elib  scopus
76. H. Gillet, S. Gorchinskiy, A. Ovchinnikov, “Parameterized Picard–Vessiot extensions and Atiyah extensions”, Adv. Math., 238 (2013), 322–411, arXiv: 1110.3526  crossref  mathscinet (cited: 10)  isi (cited: 5)  elib (cited: 4)  scopus
77. S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math., Inst. Hautes Étud. Sci., 117:1 (2013), 329–349, arXiv: 1209.6183  crossref  zmath  adsnasa  isi (cited: 1)
78. S. O. Gorchinskiy, “Generation of modules and transcendence degree of zero-cycles”, Izv. Math., 77:4 (2013), 696–699  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
79. R. Ya. Budylin, S. O. Gorchinskiy, “Intersections of adelic groups on a surface”, Sb. Math., 204:12 (2013), 1701–1711  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
80. Rezvyakova I.S., “Zeros of the Epstein zeta function on the critical line.”, Palanga Conference in Combinatorics and Number Theory (Palanga, 1-7 September 2013), Vilnius University, 2013, 47, http://mjcnt.phystech.edu/conference/palanga/abstract_book.pdf
81. Irina Rezvyakova, “Zeros of linear combinations of degree two L-functions on the critical line: Selberg's method.”, Abstract book (28th Journées Arithmétiques July 1-5, 2013 University Joseph Fourier Grenoble I Grenoble, France), University Joseph Fourier Grenoble I, 2013, 74, http://at.yorku.ca/cgi-bin/abstract/cbhj-28
82. D. A. Frolenkov, K. Soundararajan, “A generalization of the Pólya–Vinogradov inequality”, Ramanujan J., 31:3 (2013), 271–279  crossref  mathscinet  zmath  isi  scopus

   2012
83. Vik. S. Kulikov, “Factorization semigroups and irreducible components of the Hurwitz space. II”, Izv. Math., 76:2 (2012), 356–364  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  scopus
84. F. Bogomolov, V. S. Kulikov, “On the diffeomorphic type of the complement to a line arrangement in a projective plane”, Cent. Eur. J. Math., 10:2 (2012), 521–529  mathscinet  isi  elib
85. Vik. S. Kulikov, “Appendix to the paper: Yu. G. Zarhin, ‘Polynomials in one variable and ranks of certain tangent maps’”, Math. Notes, 91:4 (2012), 514–516  mathnet  crossref  crossref  isi (cited: 1)
86. V. S. Kulikov, Yu. G. Prokhorov, I. A. Cheltsov, “Predislovie”, Iskovskikh, Vasilii Alekseevich. Algebraicheskie poverkhnosti: geometriya i arifmetika, MTsNMO, M., 2012
87. D. V. Anosov, V. A. Vassiliev, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, V. A. Il'in, V. V. Kozlov, A. V. Kryazhimskiy, S. M. Nikol'skii, A. N. Parshin, V. M. Filippov, I. R. Shafarevich, “Lev Dmitrievich Kudryavtsev (obituary)”, Russian Math. Surveys, 67:3 (2012), 569–571  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
88. I. R. Shafarevich, A. Remizov, Linear algebra and geometry, Springer-Verlag, Berlin, 2012, ISBN: 978-3642309939  mathscinet (cited: 3)
89. M. A. Korolev, “On Gram's law in the theory of the Riemann zeta function”, Izv. Math., 76:2 (2012), 275–309  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  scopus
90. M. A. Korolev, “On Karatsuba's problem related to Gram's law”, Proc. Steklov Inst. Math., 276 (2012), 156–166  mathnet  crossref  mathscinet  isi  elib (cited: 1)  elib (cited: 1)  scopus
91. S. A. Gritsenko, E. A. Karatsuba, M. A. Korolëv, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, “Scientific Achievements of Anatolii Alekseevich Karatsuba”, Matematika i informatika, 1, K 75-letiyu so dnya rozhdeniya Anatoliya Alekseevicha Karatsuby, Sovr. probl. matem., 16, MIAN, M., 2012, 7–30  mathnet  crossref  zmath; S. A. Gritsenko, E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, “Scientific Achievements of Anatolii Alekseevich Karatsuba”, Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S1–S22  crossref  zmath  isi
92. M. A. Korolev, “On the small values of the Riemann zeta-function on the critical line”, Elementare und Analytische Zahlentheorie [Elementary and Analytic Number Theory] (Germany, Schloß Schney, August 13–18, 2012), eds. T. Christ, N. Oswald, R. Steuding, J. Steuding, Universität Würzburg, Würzburg, 2012, 21–22
93. M. A. Korolev, “On Karatsubas problem concerning the divisor function”, Monatsh. Math., 168:3-4 (2012), 403–441, arXiv: 1011.1391  crossref  mathscinet  adsnasa  isi  scopus
94. M. A. Korolev, “Gram's law and the argument of the Riemann zeta function”, Publ. Inst. Math. (Beograd) (N.S.), 92(106) (2012), 53–78, arXiv: 1106.0516v2  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus
95. M. A. Korolev, “On some new results related to Gram's law”, Dokl. Math., 86:2 (2012), 661–662  crossref  mathscinet  zmath  isi  elib  elib  scopus
96. M. A. Korolev, “On Selberg formulae related to Gram's law”, Sb. Math., 203:12 (2012), 1808–1816  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
97. V. L. Popov, Editor's preface to the Russian translation of the book: D. A. Cox, S. Katz, Mirror symmetry and algebraic geometry, ed. V. L. Popov, MCCME, Moscow, 2012, 5, ISBN: 978-5-4439-0206-7
98. V. L. Popov, “Problems for the problem session”, International conference “Groups of Automorphisms in Birational and Affine Geometry” (Levico Terme (Trento), October 29th – November 3rd, 2012), 2012, 2 pp., http://www.science.unitn.it/cirm/Trento_postersession.html
99. Teoriya chisel, algebra i analiz, Sbornik statei. K 75-letiyu so dnya rozhdeniya professora Anatoliya Alekseevicha Karatsuby, Tr. MIAN, 276, ed. A. N. Parshin, A. G. Sergeev, MAIK, M., 2012, 288 pp.  mathnet
100. A. N. Parshin, “Questions and remarks to the Langlands programme”, Russian Math. Surveys, 67:3 (2012), 509–539  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib (cited: 2)  elib (cited: 2)
101. S. A. Arnal', A. N. Parshin, “On irreducible representations of discrete Heisenberg groups”, Math. Notes, 92:3 (2012), 295–301  mathnet  crossref  crossref  zmath  isi  elib  scopus
102. I. D. Shkredov, T. Schoen, “Additive properties of multiplicative subgroups of $F_p$”, Quart. J. Math., 63:3 (2012), 713–722  crossref  mathscinet (cited: 9)  isi (cited: 8)  elib (cited: 5)
103. I. V. Vyugin, I. D. Shkredov, “On additive shifts of multiplicative subgroups”, Sb. Math., 203:6 (2012), 844–863  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 4)  elib (cited: 4)
104. I. D. Shkredov, “On the Gowers Norms of Certain Functions”, Math. Notes, 92:4 (2012), 554–569  mathnet  crossref  crossref  zmath  isi  elib  elib
105. F. S. Avdeev, G. I. Arkhipov, S. B. Gashkov, N. M. Dobrovol'skii, B. S. Kashin, I. I. Mel'nikov, M. P. Mineev, Yu. V. Nesterenko, S. M. Nikol'skii, A. N. Parshin, V. P. Platonov, Yu. V. Prokhorov, V. A. Sadovnichii, A. T. Fomenko, V. G. Chirskii, “Vladimir Nikolaevich Chubarikov (on his 60th birthday)”, Russian Math. Surveys, 67:1 (2012), 189–193  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
106. G. I. Arkhipov, S. B. Gashkov, M. P. Mineev, S. M. Nikol'skii, V. A. Sadovnichii, Diskr. Mat., 24:2 (2012), 4–20  mathnet  crossref  mathscinet  elib
107. S. Gorchinskiy, V. Guletskii, “Motives and representability of algebraic cycles on threefolds over a field”, J. Algebraic Geom., 21:2 (2012), 347–373, arXiv: 0806.0173v2  crossref  mathscinet (cited: 5)  zmath  isi (cited: 4)  elib (cited: 4)  scopus
108. S. Gorchinskiy, V. Guletskii, “Transcendence degree of zero-cycles and the structure of Chow motives”, Cent. Eur. J. Math., 10:2 (2012), 559–568, arXiv: 1009.1434  crossref  mathscinet (cited: 1)  zmath  isi (cited: 1)  elib (cited: 1)  scopus
109. I. Rezvyakova, On the critical line zeros of $L$-functions attached to automorphic cusp forms, 2012, 20 pp., arXiv: 1212.2948
110. D. A. Frolenkov, “The mean value of Frobenius numbers with three arguments”, Izv. Math., 76:4 (2012), 760–819  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
111. D. A. Frolenkov, “Asymptotic behaviour of the first moment of the number of steps in the by-excess and by-deficiency Euclidean algorithms”, Sb. Math., 203:2 (2012), 288–305  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib

   2011
112. V. V. Nikulin, “The transition constant for arithmetic hyperbolic reflection groups”, Izv. Math., 75:5 (2011), 971–1005  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)
113. Viacheslav V. Nikulin, “Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups”, Proc. Steklov Inst. Math., 273 (2011), 229–237  mathnet  crossref  mathscinet  zmath  isi  elib
114. D. V. Osipov, A. N. Parshin, “Harmonic analysis on local fields and adelic spaces. II”, Izv. Math., 75:4 (2011), 749–814, arXiv: 0912.1577  mathnet  mathnet  crossref  crossref  mathscinet (cited: 3)  zmath  adsnasa  isi (cited: 4)  elib (cited: 2)  elib (cited: 2)
115. Denis Osipov, Xinwen Zhu, “A categorical proof of the Parshin reciprocity laws on algebraic surfaces”, Algebra Number Theory, 5:3 (2011), 289–337, arXiv: 1002.4848  crossref  mathscinet (cited: 5)  zmath  isi (cited: 3)  scopus
116. D. V. Osipov, A. N. Parshin, “Harmonic analisys and the Riemann-Roch theorem”, Dokl. Math., 84:3 (2011), 826–829, arXiv: 1107.0408  crossref  mathscinet  zmath  isi  elib (cited: 2)  elib (cited: 2)
117. Vik. S. Kulikov, “Factorization semigroups and irreducible components of the Hurwitz space”, Izv. Math., 75:4 (2011), 711–748  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  scopus
118. Vik.S. Kulikov, A Remark on Classical Pluecker's formulae, 2011, 8 pp., arXiv: 1101.5042
119. A. A. Karatsuba, “A property of the set of primes as a multiplicative basis of the natural numbers”, Dokl. Math., 84:1 (2011), 467–470  crossref  mathscinet  zmath  isi (cited: 1)  elib
120. A. A. Karatsuba, “A property of the set of prime numbers”, Russian Math. Surveys, 66:2 (2011), 209–220  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib
121. M. A. Korolev, “Letter to the editors”, Izv. Math., 75:4 (2011), 869  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
122. M. Korolev, “On Gram's law in the theory of Riemann zeta function”, Mezhdunarodnaya konferentsiya «Diofantovy priblizheniya. Sovremennoe sostoyanie i prilozheniya» (3–8 iyulya 2011 g., Minsk, Belarus), Tezisy dokladov, Institut matematiki NAN Belarusi, Minsk, 2011, 37–38
123. M. A. Korolev, “Gram's law in the theory of Riemann's zeta function”, 27th Journees Arithmetiques (2011/06/27–07/01, Vilnius, Lithuania), Programme and Abstract book, Vilnius University, Vilnius, Lithuania, 2011, 34
124. M. A. Korolëv, “Sodokladchiki”, My – matematiki s Leninskikh gor, Vypusk № 5 «V. I. Arnold», Moskva, 2011, 312
125. J.-L. Colliot-Thélène, B. Kunyavskiĭ, V. L. Popov, Z. Reichstein, “Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?”, Compos. Math., 147:2 (2011), 428–466  crossref  mathscinet (cited: 6)  zmath  isi (cited: 5)  scopus
126. V. L. Popov, “Cross-sections, quotients, and representation rings of semisimple algebraic groups”, Transform. Groups, 16:3, special issue dedicated to Tonny Springer on the occasion of his 85th birthday (2011), 827–856  crossref  mathscinet (cited: 2)  zmath  isi (cited: 2)  elib (cited: 1)  scopus
127. V. L. Popov, “On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties”, Affine algebraic geometry: the Russell Festschrift, CRM Proceedings and Lecture Notes, 54, Amer. Math. Soc., 2011, 289–311  mathscinet (cited: 6)  zmath  isi (cited: 4)
128. V. L. Popov, “Invariant rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjecture”, Algebra and Mathematical Logic, International conference commemorating $100$th birthday of professor V. V. Morozov (Kazan, September 25–30, 2011), Kazan Federal Univ., Kazan, 2011, 19
129. D. A. Timashev, Homogeneous spaces and equivariant embeddings, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VIII, 138, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011, ISBN: 978-3-642-18398-0, 253 pp.  crossref  mathscinet (cited: 13)  zmath
130. H. E. A. E. Campbell, D. L. Wehlau, Modular invariant theory, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, IX, 139, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011, ISBN: 978-3-642-17403-2, 233 pp.  crossref  mathscinet (cited: 9)
131. A. N. Parshin, “Notes on the Poisson formula”, Algebra i analiz, 23:5 (2011), 1–54  mathnet (cited: 2)  mathscinet  elib (cited: 2); A. N. Parshin, “Notes on the Poisson formula”, St. Petersburg Math. J., 23:5 (2012), 781–818  crossref  mathscinet  isi  elib (cited: 2)  scopus
132. A. N. Parshin, “Mathematics in Moscow: we had a great epoch”, Istor.-Mat. Issled. (2), 2011, no. 14(49), 11–25  mathscinet
133. A. N. Parshin (sost., red.), Igra v tsyfir ili kak teper otsenivayut trud uchenogo, MTsNMO, M., 2011, http://www.mccme.ru/free-books/bibliometric.pdf
134. I. D. Shkredov, S. Yekhanin, “Sets with large additive energy and symmetric sets”, J. Combin. Theory Ser. A, 118:3 (2011), 1086–1093  crossref  mathscinet (cited: 3)  zmath  isi (cited: 3)  elib (cited: 3)
135. I. D. Shkredov, T. Schoen, “On sumsets of convex sets”, Comb. Probab. Comput., 20 (2011), 793–798  crossref  mathscinet (cited: 6)  zmath  isi (cited: 5)  elib (cited: 5)  scopus
136. I. D. Shkredov, “Some applications of W. Rudins inequality to problems of combinatorial Number theory”, Uniform Distribution Theory, 6:2 (2011), 95–116, http://www.boku.ac.at/math/udt/vol06/no2/08Shkredov11-2.pdf  mathscinet (cited: 3)
137. G. I. Arkhipov, V. N. Chubarikov, Chebyshevskii Sb., 12:4 (2011), 39–42  mathnet  mathscinet  elib
138. G. I. Arkhipov, S. B. Gashkov, M. P. Mineev, N. M. Dobrovol'skii, Chebyshevskii Sb., 12:4 (2011), 4–14  mathnet  mathscinet  elib
139. G. I. Arkhipov, V. N. Chubarikov, Chebyshevskii Sb., 12:1 (2011), 4–9  mathnet  mathscinet  elib
140. S. Gorchinskiy, V. Guletskii, Positive model structures for abstract symmetric spectra, 2011, 24 pp., arXiv: 1108.3509
141. I. S. Rezvyakova, “On the zeros of Hecke $L$-functions and their linear combinations on the critical line”, 27th Journées Arithmétiques (June 27 – July 1, 2011, Vilnius, Lithuania), Vilnius University, Vilnius, Lithuania, 2011
142. R. Ya. Budylin, “An inequality obtained via unstable lattices of rank 2”, Russian Math. Surveys, 66:4 (2011), 813–815  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
143. R. Ya. Budylin, “An adelic construction of Chern classes”, Sb. Math., 202:11 (2011), 1637–1659  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib (cited: 1)  elib (cited: 1)
144. D. A. Frolenkov, “A numerically explicit version of the Pólya-Vinogradov inequality”, Mosc. J. Comb. Number Theory, 1:3 (2011), 25–41  mathscinet (cited: 1)  zmath

   2010
145. F. A. Bogomolov, Yu. G. Zarhin, Vik. S. Kulikov, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, M. Reid, I. A. Cheltsov, “Vyacheslav Vladimirovich Shokurov (on his 60th birthday)”, Russian Math. Surveys, 65:6 (2010), 1193–1198  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
146. Herbert Kurke, Denis V. Osipov, Alexander B. Zheglov, “Formal groups arising from formal punctured ribbons”, Inernat. J. Math., 21:6 (2010), 755–797, arXiv: 0901.1607  crossref  mathscinet (cited: 1)  zmath  isi (cited: 1)  elib (cited: 1)  scopus
147. V. S. Kulikov, Vik. S. Kulikov, “On complete degenerations of surfaces with ordinary singularities in $\mathbb P^3$”, Sb. Math., 201:1 (2010), 129–158  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus
148. A. A. Karatsuba, E. A. Karatsuba, “Physical mathematics in number theory”, Funct. Anal. Other Math., 3:1 (2010)  crossref  mathscinet
149. A. A. Karatsuba, E. A. Karatsuba, “On application of the functional equation of the Jacobi theta function to approximation of atomic inversion in the Jaynes-Cummings model”, Pacific Journal of Applied Mathematics, 2:3 (2010), 41–63
150. A. A. Karatsuba, “New Estimates of Short Kloosterman Sums”, Math. Notes, 88:3 (2010), 347–359  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus
151. M. A. Korolev, “Gram's law and Selberg's conjecture on the distribution of zeros of the Riemann zeta function”, Izv. Math., 74:4 (2010), 743–780  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi (cited: 7)  elib (cited: 6)  scopus
152. M. A. Korolev, “On the average number of power residues modulo a composite number”, Izv. Math., 74:6 (2010), 1225–1254  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
153. M. A. Korolev, “Short Kloosterman Sums with Weights”, Math. Notes, 88:3 (2010), 374–385  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus
154. V. Popov, “Discrete complex reflection groups”, Geometry, topology, algebra and number theory, applications, The international conference dedicated to the 120th anniversary of Boris Nikolaevich Delone (1890–1980) (August 16–20, 2010), Steklov Mathematical Institute, Moscow State University, Moscow, 2010, 140
155. A. N. Parshin, “Representations of higher adelic groups and arithmetic”, Proceedings of the International Congress of Mathematicians (Hyderabad, India, 19–27 August 2010), Volume 1: Plenary lectures and ceremonies, World Scientific, 2010, 362–392  crossref  mathscinet (cited: 5)
156. A. N. Parshin, “On holomorphic representations of discrete Heisenberg groups”, Funct. Anal. Appl., 44:2 (2010), 156–159  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 6)  elib (cited: 6)  scopus
157. A. N. Parshin, “Mathematik in Moskau—es war eine große Epoche [Matematika v Moskve: u nas byla velikaya epokha]”, Mitt. Dtsch. Math.-Ver., 18:1 (2010), 43–48  mathscinet  zmath
158. I. D. Shkredov, “On Monochromatic Solutions of Some Nonlinear Equations in $\mathbb Z/p\mathbb Z$”, Math. Notes, 88:4 (2010), 603–611  mathnet  crossref  crossref  mathscinet  isi (cited: 5)  elib (cited: 3)  elib (cited: 3)
159. I. D. Shkredov, “Fourier analysis in combinatorial number theory”, Russian Math. Surveys, 65:3 (2010), 513–567  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
160. I. D. Shkredov, “On the Pyatetskii-Shapiro normality criterion for continued fractions”, Fundament. i prikl. matem., 16:6 (2010), 177–188  mathnet  mathscinet  elib; I. D. Shkredov, “On the Pyatetskii-Shapiro normality criterion for continued fractions”, J. Math. Sci., 182:4 (2012), 567–575  crossref  mathscinet  elib
161. S. V. Konyagin, I. D. Shkredov, “On one result of J. Bourgain”, Ukr. Math. J., 62:3 (2010), 380–419  crossref  mathscinet  zmath  isi  elib
162. G. I. Arkhipov, V. N. Chubarikov, “On the Vinogradov Additive Problem”, Math. Notes, 88:3 (2010), 295–307  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
163. I. S. Rezvyakova, “Zeros of linear combinations of Hecke $L$-functions on the critical line”, Izv. Math., 74:6 (2010), 1277–1314  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  scopus
164. I. S. Rezvyakova, “On the Zeros on the Critical Line of $L$-Functions Corresponding to Automorphic Cusp Forms”, Math. Notes, 88:3 (2010), 423–439  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus
165. I. S. Rezvyakova, “On zeros of Hecke $L$-functions and their linear combinations on the critical line”, Dokl. Math., 81:2 (2010), 303–308  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2009
166. V. V. Nikulin, “On ground fields of arithmetic hyperbolic reflection groups”, Groups and symmetries, CRM Proc. Lecture Notes, 47, Amer. Math. Soc., Providence, RI, 2009, 299–326  mathscinet (cited: 5)  zmath  isi (cited: 2)
167. V. V. Nikulin, “On ground fields of arithmetic hyperbolic reflection groups. III”, J. Lond. Math. Soc. (2), 79:3 (2009), 738–756  crossref  mathscinet (cited: 3)  zmath  isi (cited: 3)
168. F. A. Bogomolov, Vik. S. Kulikov, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, A. V. Pukhlikov, M. Reid, I. R. Shafarevich, V. V. Shokurov, “Vasilii Alekseevich Iskovskikh (obituary)”, Russian Math. Surveys, 64:5 (2009), 939–946  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
169. V. V. Nikulin, “Self-correspondences of $K3$ surfaces via moduli of sheaves”, Algebra, arithmetic, and geometry, in honor of Yu. I. Manin, Vol. II, Progr. Math., 270, Birkhäuser Boston Inc., Boston, MA, 2009, 439–464  mathscinet (cited: 2)  zmath  adsnasa
170. H. Kurke, D. Osipov, A. Zheglov, “Formal punctured ribbons and two-dimensional local fields”, J. Reine Angew. Math., 629 (2009), 133–170, arXiv: 0708.0985  crossref  mathscinet (cited: 2)  zmath  isi (cited: 2)  elib (cited: 2)  scopus
171. A. B. Zheglov, D. V. Osipov, “Higher KP-hierarchies and punctured ribbons”, Modern problems of mathematics and mechanics. Volume III “Mathematics”, Issue 2 “Geometry and topology”, eds. A. T. Fomenko, Moscow State University, Moscow, 2009, 15–35 (in Russian)
172. Vik. S. Kulikov, V. M. Kharlamov, “Automorphisms of Galois coverings of generic $m$-canonical projections”, Izv. Math., 73:1 (2009), 121–150  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
173. A. A. Karatsuba, E. A. Karatsuba, “A resummation formula for collapse and revival in the Jaynes–Cummings model”, J. Phys. A, 42:19 (2009), 195304, 16 pp.  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  scopus
174. A. A. Karatsuba, “Euler and Number Theory”, Proc. Steklov Inst. Math., 264 (2009), 74–86  mathnet  crossref  mathscinet  isi (cited: 1)  elib
175. A. A. Karatsuba, E. A. Karatsuba, “Application of ATS in a quantum-optical model”, Analysis and mathematical physics, Trends Math., Birkhäuser Verlag, Basel, 2009, 211–232  crossref  mathscinet (cited: 1)  isi (cited: 1)
176. A. A. Karatsuba, E. A. Karatsuba, “The “problem of remainders” in theoretical physics: “physical zeta” function”, Proceedings of the 5th Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics (Institute of Physics, Belgrade, Serbia), eds. B. Dragovich and Z. Rakic, 2009, 197–210
177. V. I. Danilov, V. A. Iskovskikh, I. R. Shafarevich, Cohomology of algebraic varieties. Algebraic surfaces, Springer, 2009 (kitaiskoe izdanie)
178. I. R. Shafarevich, A. O. Remizov, Lineinaya algebra i geometriya, Fizmatlit, M., 2009, 511 pp.
179. Mnogomernaya algebraicheskaya geometriya, Sbornik statei. Posvyaschaetsya pamyati chlena-korrespondenta RAN Vasiliya Alekseevicha Iskovskikh, Tr. MIAN, 264, ed. I. R. Shafarevich, E. F. Mischenko, MAIK, M., 2009, 224 pp.  mathnet
180. V. L. Popov, “Two orbits: When is one in the closure of the other?”, Proc. Steklov Inst. Math., 264 (2009), 146–158  mathnet  crossref  mathscinet  isi (cited: 2)  elib (cited: 4)  elib (cited: 4)  scopus
181. V. L. Popov, “Algebraic Cones”, Math. Notes, 86:6 (2009), 892–894  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus
182. I. D. Shkredov, “On a two-dimensional analogue of Szemerédi's theorem in Abelian groups”, Izv. Math., 73:5 (2009), 1033–1075  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)
183. I. D. Shkredov, “On sumsets of dissociated sets”, Online J. Anal. Comb., 2009, no. 4, Art. 4, 26 pp.  mathscinet (cited: 5)  zmath
184. I. D. Shkredov, “Obratnaya teorema dlya $U^3()$-normy”, Sovremennye problemy matematiki i mekhaniki. Matematika. Dinamicheskie sistemy, v. 4, Izd-vo Mosk. un-ta, M., 2009, 55–127
185. G. I. Arkhipov, V. N. Chubarikov, F. S. Avdeev, “O probleme Varinga-Goldbakha”, Sovremennye problemy matematiki i mekhaniki, t. III «Matematika», vypusk 1, Posvyaschaetsya 70-letiyu so dnya rozhdeniya V. A. Sadovnichego, Izd-vo Mosk. un-ta, M., 2009, 13–31
186. S. Gorchinskiy, F. Viviani, “A note on families of hyperelliptic curves”, Arch. Math. (Basel), 92:2 (2009), 119–128, arXiv: 0802.0635  crossref  mathscinet  zmath  isi  elib  scopus
187. S. Gorchinskiy, “Notes on the biextension of Chow groups”, Motives and algebraic cycles, Fields Inst. Commun., 56, Amer. Math. Soc., Providence, RI, 2009, 111–148, arXiv: 0802.1437  mathscinet  zmath  isi
188. S. Gorchinskiy, V. Guletskii, Symmetric powers in stable homotopy categories, 2009, 59 pp., arXiv: 0907.0730
189. R. Ya. Budylin, “Decomposition of Matrices over a Two-Dimensional Local Field”, Math. Notes, 85:6 (2009), 886–889  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib

   2008
190. V. V. Nikulin, Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups, 2008, arXiv: 0810.2945  adsnasa
191. V. V. Nikulin, “On Ground Fields of Arithmetic Hyperbolic Reflection Groups. II”, Mosc. Math. J., 8:4 (2008), 789–812  mathnet (cited: 3)  mathscinet (cited: 5)  zmath  isi (cited: 3)
192. C. G. Madonna, V. V. Nikulin, “Explicit correspondences of a K3 surface with itself”, Izv. Math., 72:3 (2008), 497–508  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 1)
193. V. V. Nikulin, “On the connected components of moduli of real polarized $\mathrm K3$-surfaces”, Izv. Math., 72:1 (2008), 91–111  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)
194. D. V. Osipov, “$n$-dimensional local fields and adeles on $n$-dimensional schemes”, Surveys in contemporary mathematics, London Math. Soc. Lecture Note Ser., 347, Cambridge Univ. Press, Cambridge, 2008, 131–164, arXiv: math/0508205  mathscinet (cited: 7)  zmath
195. D. V. Osipov, A. N. Parshin, “Harmonic analysis on local fields and adelic spaces. I”, Izv. Math., 72:5 (2008), 915–976, arXiv: 0707.1766  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib
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