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Karatsuba Anatolii Alekseevich
(full list of publications)
| by years | scientific publications | by types |



   2016
1. A. A. Karatsuba, “Kosmologiya i Dzeta. Doklad v Moskve”, Teoriya chisel i prilozheniya, 1, K 80-letiyu so dnya rozhdeniya professora Anatoliya Alekseevicha Karatsuby, Sovr. probl. matem., 23, MIAN, M., 2016, 17–23  mathnet  crossref  elib; A. A. Karatsuba, “Cosmology and zeta”, Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 11–17  crossref  isi  scopus
2. A. A. Karatsuba, “O nulyakh nekotorykh ryadov Dirikhle. Doklad v Obervolfakhe”, Teoriya chisel i prilozheniya, 1, K 80-letiyu so dnya rozhdeniya professora Anatoliya Alekseevicha Karatsuby, Sovr. probl. matem., 23, MIAN, M., 2016, 12–16  mathnet  crossref  elib; A. A. Karatsuba, “On zeros of certain Dirichlet series”, Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 6–10  crossref  isi  scopus
3. A. A. Karatsuba, “O lokalnom predstavlenii nulya formoi. Doklad v Chandigarkhe”, Teoriya chisel i prilozheniya, 1, K 80-letiyu so dnya rozhdeniya professora Anatoliya Alekseevicha Karatsuby, Sovr. probl. matem., 23, MIAN, M., 2016, 7–11  mathnet  crossref  elib; A. A. Karatsuba, “On local representation of zero by a form”, Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 1–5  crossref  isi  scopus

   2015
4. A. A. Karatsuba, “Vienna talk: on the number of zeros of the Riemann zeta function in short intervals of the critical line”, Chebyshevskii Sb., 16:1 (2015), 19–31  mathnet  elib
5. A. A. Karatsuba, “Moscow talk: the theorem on approximation of trigonometric sum by a short one (ATS)”, Chebyshevskii Sb., 16:1 (2015), 6–18  mathnet  elib

   2013
6. A. A. Karatsuba, “Comments to My Works,Written by Myself”, Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S1–S23  mathnet  crossref  crossref  isi  elib  scopus (cited: 1)

   2011
7. 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: 2)  elib  elib  scopus
8. 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: 4)  elib  elib  scopus (cited: 1)

   2010
9. A. A. Karatsuba, E. A. Karatsuba, “Physical mathematics in number theory”, Funct. Anal. Other Math., 3:1 (2010)  crossref  mathscinet
10. 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
11. A. A. Karatsuba, “New Estimates of Short Kloosterman Sums”, Math. Notes, 88:3 (2010), 347–359  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)

   2009
12. 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 (cited: 2)  zmath  adsnasa  isi (cited: 7)  scopus (cited: 7)
13. A. A. Karatsuba, “Euler and Number Theory”, Proc. Steklov Inst. Math., 264 (2009), 74–86  mathnet  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
14. 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: 3)  isi (cited: 2)
15. 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

   2008
16. A. A. Karatsuba, “Nelineinye summy kharakterov s prostymi chislami”, Dokl. RAN, 421:2 (2008), 162–163  mathnet  mathscinet  zmath  elib
17. A. A. Karatsuba, Š. Porubský, M. Rokyta, Z. Vlášek, “Prof. RNDr. Břetislav Novák, DrSc. (1938–2003) would be seventy”, Math. Bohem., 133:2 (2008), 209–218  mathscinet
18. A. A. Karatsuba, “Arithmetic problems in the theory of Dirichlet characters”, Russian Math. Surveys, 63:4 (2008), 641–690  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
19. A. A. Karatsuba, “Eiler i teoriya chisel”, Leonard Eiler i sovremennaya matematika, Sbornik dokladov, Sovr. probl. matem., 11, MIAN, M., 2008, 19–37  mathnet  crossref  zmath  elib; A. A. Karatsuba, “Euler and number theory”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), 169–179  crossref  zmath  isi  elib  scopus

   2007
20. A. A. Karatsuba, M. A. Korolëv, “Priblizhenie trigonometricheskoi summy bolee korotkoi”, Dokl. RAN, 412:2 (2007), 159–161  mathnet  mathscinet (cited: 3)  elib (cited: 3)
21. M. Z. Garaev , A. A. Karatsuba, “The representation of residue classes by products of small integers”, Proc. Edinb. Math. Soc. (2), 50:2 (2007), 363–375  crossref  mathscinet (cited: 9)  zmath  isi (cited: 8)  elib (cited: 9)  scopus (cited: 9)
22. A. A. Karatsuba, M. A. Korolev, “A theorem on the approximation of a trigonometric sum by a shorter one”, Izv. Math., 71:2 (2007), 341–370  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 1)

   2006
23. A. A. Karatsuba, “Trigonometricheskie summy Korobova”, Chebyshevskii sb., 7:3(19) (2006), 101–109  mathscinet  zmath
24. A. A. Karatsuba, “Zero multiplicity and lower bound estimates of $|\zeta(s)|$”, Funct. Approx. Comment. Math., 35 (2006), 195–207  crossref  mathscinet (cited: 3)  zmath
25. M. Z. Garaev , A. A. Karatsuba, “New estimates of double trigonometric sums with exponential functions”, Arch. Math. (Basel), 87:1 (2006), 33–40  crossref  mathscinet (cited: 5)  zmath  isi (cited: 6)  elib (cited: 7)  scopus (cited: 7)
26. A. A. Karatsuba, M. A. Korolev, “Behaviour of the argument of the Riemann zeta function on the critical line”, Russian Math. Surveys, 61:3 (2006), 389–482  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 17)  elib (cited: 10)  elib (cited: 10)  scopus (cited: 10)
27. R. A. Arhontova, A. G. Baskakov, I. A. Bakhtin, E. S. Belyaeva, Yu. G. Borisovich, A. S. Grechenko, V. R. Zachepa, A. A. Karatsuba, A. F. Kudinov, V. V. Obukhovskii, A. I. Perov, A. S. Potapov, E. M. Semenov, V. P. Trofimov, N. N. Udodenko, “Kirill Andreevich Rodosskii (obituary)”, Russian Math. Surveys, 61:5 (2006), 971–973  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2005
28. A. A. Karatsuba, “O kolichestve peremen znaka funktsii $R_1(x)$ i eë srednikh znachenii”, Chebyshevskii sb., 6:2(14) (2005), 163–183  mathscinet (cited: 2)  zmath
29. A. A. Karatsuba, “Povedenie funktsii $R_1(x)$ i ee srednego znacheniya”, Dokl. RAN, 404:4 (2005), 439–442  mathnet  mathscinet (cited: 1)  zmath  elib (cited: 1)
30. A. A. Karatsuba, “O priblizheniyakh $\pi(x)$”, Chebyshevskii sb., 5:4(12) (2005), 5–20  mathscinet (cited: 2)
31. M. Z. Garaev , A. A. Karatsuba, “On character sums and the exceptional set of a congruence problem”, J. Number Theory, 114:1 (2005), 182–192  crossref  mathscinet (cited: 14)  zmath  isi (cited: 11)  elib (cited: 11)  scopus (cited: 13)
32. A. A. Karatsuba, M. A. Korolev, “The argument of the Riemann zeta function”, Russian Math. Surveys, 60:3 (2005), 433–488  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 26)  elib (cited: 31)  elib (cited: 31)  scopus (cited: 19)

   2004
33. A. A. Karatsuba, “On the asymptotic Riemann formula for $\pi(x)$”, Dokl. RAN, 396:5 (2004), 595–596  mathnet  mathscinet (cited: 1)  zmath
34. G. I. Arkhipov, V. N. Chubarikov, A. A. Karatsuba, Trigonometric sums in number theory and analysis, de Gruyter Expositions in Mathematics, 39, Walter de Gruyter GmbH & Co. KG, Berlin, 2004 , x+554 pp.  mathscinet (cited: 20)  zmath
35. A. A. Karatsuba, “Lower bounds for the maximum modulus of the Riemann zeta function on short segments of the critical line”, Izv. Math., 68:6 (2004), 1157–1163  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)

   2003
36. A. A. Karatsuba, “Omega Theorems for Zeta Sums”, Math. Notes, 73:2 (2003), 212–217  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)
37. A. A. Karatsuba, “Zeros and Local Extrema of Trigonometric Sums”, Problems Inform. Transmission, 39:1 (2003), 78–91  mathnet  crossref  mathscinet  zmath
38. G. I. Arkhipov, V. G. Zhuravlev, V. A. Iskovskikh, A. A. Karatsuba, M. B. Levina-Khripunova, V. N. Chubarikov, A. A. Yudin, “Nikolai Mikhailovich Timofeev (obituary)”, Russian Math. Surveys, 58:4 (2003), 773–776  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   2002
39. A. A. Karatsuba, “On zeros of trigonometric sums”, Dokl. RAN, 387:1 (2002), 11–12  mathnet (cited: 2)  mathscinet (cited: 1)  zmath
40. A. A. Karatsuba, “Fractional Moments and Zeros of $\zeta (s)$ on the Critical Line”, Math. Notes, 72:4 (2002), 466–472  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  scopus

   2001
41. A. A. Karatsuba, “On lower bounds for the Riemann zeta function”, Dokl. RAN, 376:1 (2001), 15–16  mathnet (cited: 4)  mathscinet (cited: 10)  zmath
42. A. A. Karatsuba, “On fractional parts of rapidly growing functions”, Izv. Math., 65:4 (2001), 727–748  mathnet  crossref  crossref  mathscinet  zmath  elib (cited: 1)  scopus (cited: 1)
43. A. A. Karatsuba, “Lower Bounds for the Maximum Modulus of $\zeta(s)$ in Small Domains of the Critical Strip”, Math. Notes, 70:5 (2001), 724–726  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 7)  scopus (cited: 7)
44. A. A. Karatsuba, “On the Relationship between the Multidimensional Dirichlet Divisor Problem and the Boundary of Zeros of $\zeta(s)$”, Math. Notes, 70:3 (2001), 432–435  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus

   2000
45. A. A. Karatsuba, “Sums of characters with prime numbers and their applications”, Tatra Mt. Math. Publ., 20 (2000), 155–162  mathscinet (cited: 4)  zmath
46. A. A. Karatsuba, “The multidimensional Dirichlet divisor problem and zero free regions for the Riemann zeta function”, Funct. Approx. Comment. Math., 28 (2000), 131–140  mathscinet (cited: 1)  zmath
47. A. A. Karatsuba, “Weighted character sums”, Izv. Math., 64:2 (2000), 249–263  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 5)  scopus (cited: 5)

   1999
48. A. A. Karatsuba, “Double Kloosterman sums”, Math. Notes, 66:5 (1999), 565–569  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 14)  scopus (cited: 4)
49. A. A. Karatsuba, B. Novak, “Arithmetical problems with numbers of special type”, Math. Notes, 66:2 (1999), 251–253  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 2)

   1998
50. A. A. Karatsuba, “Regular sets modulo a given number”, Proceedings of the 13th Czech and Slovak International Conference on Number Theory (Ostravice, 1997), Acta Math. Inform. Univ. Ostraviensis, 6, no. 1, 1998, 129–134 (Russian)  mathscinet (cited: 1)  zmath
51. A. A. Karatsuba, “An estimate of the $L_1$-norm of an exponential sum”, Math. Notes, 64:3 (1998), 401–404  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 9)  scopus (cited: 8)
52. A. A. Karatsuba, “Regular sets in residual classes”, Math. Notes, 64:2 (1998), 190–193  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  scopus
53. G. I. Arkhipov, V. I. Blagodatskikh, A. A. Bolibrukh, V. A. Iskovskikh, A. A. Karatsuba, Yu. V. Prokhorov, A. T. Fomenko, V. N. Chubarikov, I. R. Shafarevich, “Sergei Mikhailovich Voronin (obituary)”, Russian Math. Surveys, 53:4 (1998), 777–781  mathnet  crossref  crossref  mathscinet  zmath  isi
54. V. S. Vladimirov, A. A. Dezin, A. A. Karatsuba, L. D. Kudryavtsev, M. P. Mineev, S. M. Nikol'skii, L. P. Postnikova, Yu. V. Prokhorov, V. N. Chubarikov, A. B. Shidlovskii, A. A. Yudin, “Aleksei Georgievich Postnikov (obituary)”, Russian Math. Surveys, 53:1 (1998), 199–204  mathnet  crossref  crossref  mathscinet  zmath  isi

   1997
55. A. A. Karatsuba, “Analogues of incomplete Kloosterman sums and their applications”, Tatra Mt. Math. Publ., 11 (1997), 89–120 (Russian)  mathscinet (cited: 7)  zmath
56. A. A. Karatsuba, “Additive congruences”, Izv. Math., 61:2 (1997), 317–329  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 1)

   1996
57. A. A. Karatsuba, “Sums of fractional parts of functions of a special form”, Dokl. Math., 54:1 (1996), 541  mathnet  mathscinet  zmath  isi (cited: 2)  scopus (cited: 1)
58. A. A. Karatsuba, “On the function $S(t)$”, Izv. Math., 60:5 (1996), 901–931  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 10)
59. A. A. Karatsuba, “Density theorem and the behavior of the argument of the Riemann zeta function”, Math. Notes, 60:3 (1996), 333–334  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 5)  scopus (cited: 6)

   1995
60. A. A. Karatsuba, Complex analysis in number theory, CRC Press, Boca Raton, FL, 1995 , x+187 pp.  mathscinet (cited: 16)  zmath
61. A. A. Karatsuba, “Analogues of Kloosterman sums”, Izv. Math., 59:5 (1995), 971–981  mathnet  crossref  mathscinet  zmath  isi (cited: 17)
62. A. A. Karatsuba, “Fractional parts of functions of a special form”, Izv. Math., 59:4 (1995), 721–740  mathnet  crossref  mathscinet  zmath  isi (cited: 19)
63. A. A. Karatsuba, “On a certain arithmetic function”, Russian Math. Surveys, 50:5 (1995), 1088–1089  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)
64. A. A. Karatsuba, “The complexity of computations”, Proc. Steklov Inst. Math., 211 (1995), 169–183  mathnet  mathscinet  zmath

   1994
65. S. M. Voronin, A. A. Karatsuba, Dzeta-funktsiya Rimana, Fizmatlit, M., 1994 , 376 pp.  mathscinet (cited: 18)
66. A. A. Karatsuba, “Zeros of arithmetic Dirichlet series”, Math. Slovaca, 44:5 (1994), 633–649 (Russian)  mathscinet  zmath
67. A. A. Karatsuba, “I. M. Vinogradov i ego metod trigonometricheskikh summ”, Teoriya chisel i analiz, Sbornik statei. Trudy Mezhdunarodnoi konferentsii po teorii chisel, posvyaschennoi 100-letiyu so dnya rozhdeniya akademika I. M. Vinogradova, Tr. MIAN, 207, Nauka, M., 1994, 3–20  mathnet  mathscinet (cited: 1)  zmath; A. A. Karatsuba, “I. M. Vinogradov and his method of trigonometric sums”, Proc. Steklov Inst. Math., 207 (1995), 1–33  mathscinet  zmath
68. A. A. Karatsuba, “Novyi podkhod k probleme nulei nekotorykh ryadov Dirikhle”, Teoriya chisel i analiz, Sbornik statei. Trudy Mezhdunarodnoi konferentsii po teorii chisel, posvyaschennoi 100-letiyu so dnya rozhdeniya akademika I. M. Vinogradova, Tr. MIAN, 207, Nauka, M., 1994, 180–196  mathnet (cited: 12)  mathscinet (cited: 5)  zmath; A. A. Karatsuba, “A new approach to the problem of the zeros of some Dirichlet series”, Proc. Steklov Inst. Math., 207 (1995), 163–177  mathscinet  zmath
69. Teoriya chisel i analiz, Sbornik statei. Trudy Mezhdunarodnoi konferentsii po teorii chisel, posvyaschennoi 100-letiyu so dnya rozhdeniya akademika I. M. Vinogradova, Tr. MIAN, 207, ed. E. F. Mischenko, A. A. Karatsuba, Nauka, M., 1994 , 384 pp.  mathnet  zmath

   1993
70. A. A. Karatsuba, “Distribution of inverse values in a residue ring modulo a given number”, Dokl. RAN, 333:2 (1993), 138–139  mathnet (cited: 13)  mathscinet (cited: 9)  zmath; Russian Acad. Sci. Dokl. Math., 48:3 (1994), 452–454  mathscinet
71. A. A. Karatsuba, Basic analytic number theory, Springer-Verlag, Berlin, 1993 , xiv+222 pp.  mathscinet (cited: 79)  zmath
72. A. A. Karatsuba, “O nulyakh arifmeticheskikh ryadov Dirikhle, ne imeyuschikh eilerova proizvedeniya”, Izv. RAN. Ser. matem., 57:5 (1993), 3–14  mathnet (cited: 4)  mathscinet  zmath  adsnasa; A. A. Karatsuba, “On the zeros of arithmetic Dirichlet series without Euler product”, Russian Acad. Sci. Izv. Math., 43:2 (1994), 193–203  crossref  mathscinet  zmath  isi (cited: 1)
73. A. A. Karatsuba, “On the zeros of a class of functions generated by the Hurwitz function”, Russian Math. Surveys, 48:5 (1993), 175–176  mathnet  crossref  mathscinet  zmath  adsnasa  isi

   1992
74. A. A. Karatsuba, “On zeros of the Davenport–Heilbronn function”, Proceedings of the Amalfi Conference on Analytic Number Theory (Maiori, 1989), Univ. Salerno, Salerno, 1992, 271–293  mathscinet (cited: 2)  zmath
75. A. A. Karatsuba, S. M. Voronin, The Riemann zeta-function, de Gruyter Expositions in Mathematics, 5, Walter de Gruyter & Co., Berlin, 1992 , xii+396 pp.  mathscinet (cited: 153)
76. Soviet Math. Dokl., 45:1 (1992), 46–47  mathnet  mathscinet  zmath
77. A. A. Karatsuba, “O kolichestve nulei dzeta-funktsii Rimana, lezhaschikh na pochti vsekh korotkikh promezhutkakh kriticheskoi pryamoi”, Izv. RAN. Ser. matem., 56:2 (1992), 372–397  mathnet (cited: 6)  mathscinet (cited: 2)  zmath  adsnasa; A. A. Karatsuba, “On the number of zeros of the Riemann zeta-function lying in almost all short intervals of the critical line”, Russian Acad. Sci. Izv. Math., 40:2 (1993), 353–376  crossref  mathscinet  zmath  isi
78. A. A. Karatsuba, “A refinement of theorems on the number of zeros lying on intervals of the critical line of certain Dirichlet series”, Russian Math. Surveys, 47:2 (1992), 219–220  mathnet  crossref  mathscinet  zmath  adsnasa  isi
79. A. A. Karatsuba, “All-Union Conference on Number Theory, dedicated to the centennial of I. M. Vinogradov”, Uspekhi Mat. Nauk, 47:2(284) (1992), 211  mathnet

   1991
80. V. S. Vladimirov, A. A. Karatsuba, I. R. Shafarevich, “On the centennial of the birth of Academician I. M. Vinogradov”, Vestn. Akademii nauk SSSR, 1991, no. 9, 91–103 (Russian)  mathscinet  isi
81. A. A. Karatsuba, “Distribution of values of Dirichlet characters on additive sequences”, Dokl. AN SSSR, 319:3 (1991), 543–545  mathnet (cited: 4)  mathscinet (cited: 19)  zmath; Soviet Math. Dokl., 44:1 (1992), 145–148  mathscinet
82. A. A. Karatsuba, “On the zeros of Riemann's zeta-function on the critical line”, International Symposium in Memory of Hua Loo Keng (Beijing, 1988), v. I, Springer, Berlin, 1991, 117–162  crossref  mathscinet  zmath
83. Soviet Math. Dokl., 43:2 (1991), 589–590  mathnet  mathscinet  zmath
84. A. A. Karatsuba, “O nulyakh spetsialnogo vida funktsii, svyazannykh s ryadami Dirikhle”, Izv. AN SSSR. Ser. matem., 55:3 (1991), 483–514  mathnet (cited: 11)  mathscinet (cited: 5)  zmath  adsnasa; A. A. Karatsuba, “On the zeros of a special type of function connected with Dirichlet series”, Math. USSR-Izv., 38:3 (1992), 471–502  crossref  mathscinet  zmath  isi (cited: 4)
85. A. A. Karatsuba, “O plotnostnoi teoreme”, Teoriya chisel, algebra, matematicheskii analiz i ikh prilozheniya, Sb. st. Posvyaschaetsya 100-letiyu so dnya rozhdeniya Ivana Matveevicha Vinogradova, Tr. MIAN, 200, Nauka, M., 1991, 185–196  mathnet  mathscinet  zmath; A. A. Karatsuba, “On density theorem”, Proc. Steklov Inst. Math., 200 (1993), 205–217  mathscinet  zmath

   1990
86. A. A. Karatsuba, “O nulyakh funktsii Devenporta–Kheilbronna, lezhaschikh na kriticheskoi pryamoi”, Izv. AN SSSR. Ser. matem., 54:2 (1990), 303–315  mathnet (cited: 22)  mathscinet (cited: 10)  zmath  adsnasa  isi (cited: 3); A. A. Karatsuba, “On the zeros of the Davenport–Heilbronn function lying on the critical line”, Math. USSR-Izv., 36:2 (1991), 311–324  crossref  mathscinet  zmath  isi (cited: 3)
87. A. A. Karatsuba, “The distribution of prime numbers”, Russian Math. Surveys, 45:5 (1990), 99–171  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)
88. A. A. Karatsuba, “Zeros of certain Dirichlet series”, Russian Math. Surveys, 45:1 (1990), 207–208  mathnet  crossref  mathscinet  zmath  adsnasa  isi

   1989
89. A. A. Karatsuba, E. I. Kovalevskaya, \u{I}. P. Kubilyus, “Biography and scientific work of V. G. Sprindzhuk”, Acta Arith., 53:1 (1989), 5–16 (Russian)  mathscinet (cited: 1)  isi
90. A. A. Karatsuba, “On a Diophantine inequality”, Acta Arith., 53:3 (1989), 309–324  mathscinet (cited: 2)  zmath  isi (cited: 3)

   1988
91. B. M. Bredikhin, V. S. Vladimirov, A. A. Karatsuba, E. F. Mishchenko, S. M. Nikol'skii, “Aleksandr Fedorovich Lavrik (on his sixtieth birthday)”, Russian Math. Surveys, 43:4 (1988), 245–247  mathnet  crossref  mathscinet  adsnasa  isi
92. V. I. Bernik, A. A. Karatsuba, I. P. Kubilyus, V. P. Platonov, D. A. Suprunenko, “Vladimir Gennadievich Sprindzhuk (obituary)”, Russian Math. Surveys, 43:4 (1988), 195–197  mathnet  crossref  mathscinet  adsnasa  isi

   1987
93. A. A. Karatsuba, “Approximation of exponential sums by shorter ones”, Proc. Indian Acad. Sci. Math. Sci., 97:1-3 (1987), 167–178 (1988)  crossref  mathscinet (cited: 8)  zmath  isi (cited: 13)  scopus (cited: 13)
94. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, Teoriya kratnykh trigonometricheskikh summ, Nauka, M., 1987 , 368 pp.  mathscinet (cited: 18)
95. G. I. Arkhipov, A. A. Karatsuba, “A multidimensional analogue of the Waring problem”, Dokl. AN SSSR, 295:3 (1987), 521–523  mathnet (cited: 1)  mathscinet (cited: 3)  zmath; Soviet Math. Dokl., 36:1 (1988), 75–77  mathscinet
96. A. A. Karatsuba, “Raspredelenie par kvadratichnykh vychetov i nevychetov spetsialnogo vida”, Izv. AN SSSR. Ser. matem., 51:5 (1987), 994–1009  mathnet (cited: 2)  mathscinet (cited: 2)  zmath; A. A. Karatsuba, “The distribution of pairs of quadratic residues and nonresidues of a special form”, Math. USSR-Izv., 31:2 (1988), 307–323  crossref  mathscinet  zmath
97. A. A. Karatsuba, “The Hilbert–Kamke problem in analytic number theory”, Math. Notes, 41:2 (1987), 155–161  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus
98. B. M. Bredikhin, V. E. Voskresenskii, A. A. Karatsuba, A. F. Lavrik, A. V. Malyshev, A. G. Postnikov, V. G. Sprindzhuk, “Nikolai Grigor'evich Chudakov (obituary)”, Russian Math. Surveys, 42:5 (1987), 161–162  mathnet  crossref  mathscinet  adsnasa  isi

   1985
99. A. A. Karatsuba, “Zeros of the function $\zeta(\frac12+it)$”, Dokl. AN SSSR, 281:5 (1985), 1038–1041  mathnet  mathscinet  zmath
100. A. A. Karatsuba, “O funktsii $G(n)$ v probleme Varinga”, Izv. AN SSSR. Ser. matem., 49:5 (1985), 935–947  mathnet (cited: 5)  mathscinet (cited: 3)  zmath; A. A. Karatsuba, “On the function $G(n)$ in Waring's problem”, Math. USSR-Izv., 27:2 (1986), 239–249  crossref  mathscinet  zmath
101. A. A. Karatsuba, “The Riemann zeta function and its zeros”, Russian Math. Surveys, 40:5 (1985), 23–82  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)
102. A. A. Karatsuba, “On the real zeros of the function $\zeta(1/2+it)$”, Russian Math. Surveys, 40:4 (1985), 191–192  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)
103. A. A. Karatsuba, “O nulyakh dzeta-funktsii Rimana na kriticheskoi pryamoi”, Sovremennye problemy matematiki. Matematicheskii analiz, algebra, topologiya, Sbornik statei. Posvyaschaetsya akademiku Lvu Semenovichu Pontryaginu k ego semidesyatipyatiletiyu, Tr. MIAN SSSR, 167, 1985, 167–178  mathnet (cited: 4)  mathscinet (cited: 1)  zmath; A. A. Karatsuba, “Zeros of the Riemann zeta function on the critical line”, Proc. Steklov Inst. Math., 167 (1986), 187–200  mathscinet  zmath
104. A. A. Karatsuba, “O nulyakh funktsii $\zeta(s)$ v okrestnosti kriticheskoi pryamoi”, Izv. AN SSSR. Ser. matem., 49:2 (1985), 326–333  mathnet (cited: 5)  mathscinet (cited: 1)  zmath; A. A. Karatsuba, “On the zeros of the function $\zeta(s)$ in the neighborhood of the critical line”, Math. USSR-Izv., 26:2 (1986), 307–313  crossref  mathscinet  zmath

   1984
105. A. A. Karatsuba, “Quadratic residues and nonresidues in sparse sequences”, Dokl. AN SSSR, 279:5 (1984), 1044–1046  mathnet (cited: 2)  mathscinet (cited: 1)  zmath
106. A. A. Karatsuba, “Zeros of the Riemann zeta function”, Dokl. AN SSSR, 276:3 (1984), 535–539  mathnet (cited: 1)  mathscinet  zmath
107. A. A. Karatsuba, “On the zeros of the function $\zeta(s)$ on short intervals of the critical line”, Math. USSR-Izv., 24:3 (1984), 523–537  mathnet  crossref  mathscinet  zmath
108. I. M. Vinogradov, A. A. Karatsuba, “Metod trigonometricheskikh summ v teorii chisel”, Algebra, matematicheskaya logika, teoriya chisel, topologiya, Sbornik obzornykh statei. 1. K 50-letiyu Instituta, Tr. MIAN SSSR, 168, 1984, 4–30  mathnet (cited: 6)  mathscinet (cited: 3)  zmath; I. M. Vinogradov, A. A. Karatsuba, “The method of trigonometric sums in number theory”, Proc. Steklov Inst. Math., 168 (1986), 3–30  mathscinet  zmath
109. A. A. Karatsuba, “Metod trigonometricheskikh summ I. M. Vinogradova”, Mezhdunarodnaya konferentsiya po analiticheskim metodam v teorii chisel i analize (Moskva, 14–19 sentyabrya 1981 g.), Tr. MIAN SSSR, 163, 1984, 97–103  mathnet  mathscinet  zmath; A. A. Karatsuba, “Vinogradov's method of trigonometric sums”, Proc. Steklov Inst. Math., 163 (1985), 117–123  mathscinet  zmath
110. A. A. Karatsuba, “Raspredelenie nulei funktsii $\zeta(1/2+it)$”, Izv. AN SSSR. Ser. matem., 48:6 (1984), 1214–1224  mathnet (cited: 14)  mathscinet (cited: 3)  zmath; A. A. Karatsuba, “The distribution of zeros of the function $\zeta(1/2+it)$”, Math. USSR-Izv., 25:3 (1985), 519–529  crossref  mathscinet  zmath

   1983
111. A. A. Karatsuba, “Teoriya chisel”, Ocherki razvitiya matematiki v SSSR. Teoreticheskaya matematika. Prikladnye voprosy matematiki, Naukova dumka, Kiev, 1983, 106–133 (Russian)  mathscinet (cited: 14)
112. A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, 2-e izd., Nauka, M., 1983 , 240 pp.  mathscinet (cited: 12)
113. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “New uniform estimates for multiple trigonometric sums”, Dokl. AN SSSR, 272:1 (1983), 11–12  mathnet (cited: 1)  mathscinet  zmath
114. A. A. Karatsuba, “Zeros of the Riemann zeta function in short intervals of the critical line”, Dokl. AN SSSR, 272:6 (1983), 1312–1314  mathnet (cited: 4)  mathscinet  zmath
115. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Osobye sluchai teorii kratnykh trigonometricheskikh summ”, Izv. AN SSSR. Ser. matem., 47:4 (1983), 707–784  mathnet (cited: 2)  mathscinet (cited: 1)  zmath; G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Special cases of the theory of multiple trigonometric sums”, Math. USSR-Izv., 23:1 (1984), 17–82  crossref  mathscinet  zmath

   1982
116. G. I. Arkhipov, A. A. Karatsuba, “On the representation of zero by a form in a $p$-adic number field”, Dokl. AN SSSR, 262:1 (1982), 11–13  mathscinet (cited: 1)  zmath
117. G. I. Arkhipov, A. A. Karatsuba, “A problem in the theory of congruences”, Russian Math. Surveys, 37:5 (1982), 157–158  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)

   1981
118. A. A. Karatsuba, “On a problem with prime numbers”, Dokl. AN SSSR, 259:6 (1981), 1291–1293  mathscinet  zmath
119. G. I. Arkhipov, A. A. Karatsuba, “O lokalnom predstavlenii nulya formoi”, Izv. AN SSSR. Ser. matem., 45:5 (1981), 948–961  mathnet (cited: 6)  mathscinet (cited: 6)  zmath; G. I. Arkhipov, A. A. Karatsuba, “On local representation of zero by a form”, Math. USSR-Izv., 19:2 (1982), 231–240  crossref  mathscinet  zmath
120. A. A. Karatsuba, “Ivan Matveevich Vinogradov (on his ninetieth birthday)”, Russian Math. Surveys, 36:6 (1981), 1–17  mathnet  crossref  mathscinet  zmath  adsnasa  isi
121. A. A. Karatsuba, “O rasstoyanii mezhdu sosednimi nulyami dzeta-funktsii Rimana, lezhaschimi na kriticheskoi pryamoi”, Teoriya chisel, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Ivanu Matveevichu Vinogradovu k ego k ego devyanostoletiyu, Tr. MIAN SSSR, 157, 1981, 49–63  mathnet (cited: 13)  mathscinet (cited: 6)  zmath; A. A. Karatsuba, “On the distance between consecutive zeros of the Riemann zeta function that lie on the critical line”, Proc. Steklov Inst. Math., 157 (1983), 51–66  mathscinet  zmath

   1980
122. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Uniform estimates of multiple trigonometric sums”, Dokl. AN SSSR, 252:6 (1980), 1289–1291  mathscinet
123. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “On a system of Diophantine equations”, Dokl. AN SSSR, 252:2 (1980), 275–276  mathscinet (cited: 1)
124. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Kratnye trigonometricheskie summy i ikh prilozheniya”, Izv. AN SSSR. Ser. matem., 44:4 (1980), 723–781  mathnet (cited: 5)  mathscinet (cited: 1)  zmath; G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Multiple trigonometric sums and their applications”, Math. USSR-Izv., 17:1 (1981), 1–54  crossref  mathscinet  zmath  isi
125. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Kratnye trigonometricheskie summy”, Tr. MIAN SSSR, 151, 1980, 3–128 , 128 pp.  mathnet  mathscinet (cited: 14)  zmath; G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Multiple trigonometric sums”, Proc. Steklov Inst. Math., 151:2 (1982), 1–126  mathscinet (cited: 4)  mathscinet (cited: 4)  zmath

   1979
126. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Exponent of convergence of the singular integral in the Terry problem”, Dokl. AN SSSR, 248:2 (1979), 268–272  mathscinet (cited: 9)
127. A. A. Karatsuba, Fundamentos de la teoría analítica de los números, Mir, M., 1979 , 245 pp. (Spanish)  mathscinet (cited: 1)
128. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Trigonometricheskie integraly”, Izv. AN SSSR. Ser. matem., 43:5 (1979), 971–1003  mathnet (cited: 17)  mathscinet (cited: 21)  zmath  adsnasa; G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Trigonometric integrals”, Math. USSR-Izv., 15:2 (1980), 211–239  crossref  mathscinet  zmath  isi (cited: 7)
129. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Distribution of fractional parts of polynomials in several variables”, Math. Notes, 25:1 (1979), 3–9  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 3)

   1978
130. A. A. Karatsuba, “Asymptotics of an arithmetic sum”, Math. Notes, 24:6 (1978), 893–895  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
131. A. A. Karatsuba, “Distribution of the values of Legendre symbols in polynomials with prime numbers”, Dokl. AN SSSR, 238:3 (1978), 524–526  mathscinet (cited: 2)
132. G. I. Arkhipov, A. A. Karatsuba, “I. M. Vinogradov's integral”, Dokl. AN SSSR, 239:4 (1978), 764–765  mathscinet
133. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Tochnaya otsenka chisla reshenii odnoi sistemy diofantovykh uravnenii”, Izv. AN SSSR. Ser. matem., 42:6 (1978), 1187–1226  mathnet (cited: 4)  mathscinet  zmath; G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “A sharp estimate for the number of solutions of a system of Diophantine equations”, Math. USSR-Izv., 13:3 (1979), 461–497  crossref  mathscinet  zmath  isi
134. A. A. Karatsuba, “Sums of Legendre symbols of polynomials of second degree over prime numbers”, Math. USSR-Izv., 12:2 (1978), 299–308  mathnet  crossref  mathscinet  zmath
135. G. I. Arkhipov, A. A. Karatsuba, “Novaya otsenka integrala I. M. Vinogradova”, Izv. AN SSSR. Ser. matem., 42:4 (1978), 751–762  mathnet (cited: 6)  mathscinet (cited: 6)  zmath; G. I. Arkhipov, A. A. Karatsuba, “A new estimate of an integral of I. M. Vinogradov”, Math. USSR-Izv., 13:1 (1979), 52–62  crossref  mathscinet  zmath  isi
136. D. I. Ismoilov, A. A. Karatsuba, S. A. Stepanov, “All-Union School-Seminar on number theory”, Uspekhi Mat. Nauk, 33:2(200) (1978), 234–236  mathnet

   1977
137. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Verkhnyaya granitsa modulya kratnoi trigonometricheskoi summy”, Analiticheskaya teoriya chisel, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Ivanu Matveevichu Vinogradovu k ego vosmidesyatipyatiletiyu, Tr. MIAN SSSR, 143, 1977, 3–31  mathnet (cited: 5)  mathscinet (cited: 1)  zmath; G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “An upper bound of the modulus of a multiple trigonometric sum”, Proc. Steklov Inst. Math., 143 (1980), 1–31  mathscinet  zmath

   1976
138. A. A. Karatsuba, “O raspredelenii znachenii neglavnykh kharakterov”, Teoriya chisel, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Ivanu Matveevichu Vinogradovu k ego vosmidesyatipyatiletiyu, Tr. MIAN SSSR, 142, 1976, 156–164  mathnet (cited: 3)  mathscinet (cited: 2)  zmath; A. A. Karatsuba, “Distribution of values of nonprincipal characters”, Proc. Steklov Inst. Math., 142 (1979), 165–174  mathscinet  zmath
139. A. A. Karatsuba, “A system of congruences”, Math. Notes, 19:3 (1976), 237–239  mathnet  crossref  mathscinet  zmath  elib (cited: 1)  scopus (cited: 2)

   1975
140. A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, Nauka, M., 1975 , 183 pp.  mathscinet (cited: 17)
141. A. A. Karatsuba, “Trigonometric sums and their applications”, Proceedings of the International Congress of Mathematicians (Vancouver, B.C., 1974), v. 1, Canad. Math. Congress, Montreal, Que., 1975, 365–368 (Russian)  mathscinet (cited: 1)
142. A. A. Karatsuba, “Some arithmetical problems with numbers having small prime divisors”, Collection of articles in memory of Juriĭ Vladimirovič Linnik, Acta Arith., 27 (1975), 489–492 (Russian)  mathscinet (cited: 2)
143. A. A. Karatsuba, “Some problems of contemporary analytic number theorem”, Math. Notes, 17:2 (1975), 195–199  mathnet  crossref  mathscinet  zmath  scopus
144. A. A. Karatsuba, “Sums of characters in sequences of shifted prime numbers, with applications”, Math. Notes, 17:1 (1975), 91–93  mathnet  crossref  mathscinet  zmath  elib (cited: 1)  scopus (cited: 1)

   1973
145. A. A. Karatsuba, “On some problems of prime numbers theory, connected with I. M. Vinogradov's method”, Proc. Steklov Inst. Math., 132 (1973), 293–298  mathnet  mathscinet  zmath
146. A. A. Karatsuba, “The mean value of the modulus of a trigonometric sum”, Math. USSR-Izv., 7:6 (1973), 1199–1223  mathnet  crossref  mathscinet  zmath
147. A. A. Karatsuba, “Lower estimates of sums of polynomial characters”, Math. Notes, 14:1 (1973), 593–596  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   1972
148. A. A. Karatsuba, “The problem of Dirichlet divisors in number fields”, Dokl. AN SSSR, 204 (1972), 540–541  mathscinet
149. A. A. Karatsuba, “Uniform approximation of the remainder term in the Dirichlet divisor problem”, Math. USSR-Izv., 6:3 (1972), 467–475  mathnet  crossref  mathscinet  zmath

   1971
150. A. A. Karatsuba, “Estimates of trigonometric sums by the method of I. M. Vinogradov, and their applications”, Proc. Steklov Inst. Math., 112 (1971), 251–265  mathnet  mathscinet  zmath
151. Soviet Math. Dokl., 12 (1971), 1172–1174  mathscinet
152. A. A. Karatsuba, “Distribution of power residues and non-residues in additive squences.”, Dokl. AN SSSR, 196 (1971), 759–760  mathscinet (cited: 3)
153. A. A. Karatsuba, “Sums of characters with prime numbers in an arithmetic progression”, Math. USSR-Izv., 5:3 (1971), 485–501  mathnet  crossref  mathscinet  zmath

   1970
154. A. A. Karatsuba, “The distribution of products of shifted prime numbers in arithmetic progressions”, Dokl. AN SSSR, 192 (1970), 724–727  mathscinet (cited: 9)
155. A. A. Karatsuba, “Sums of characters with prime numbers”, Dokl. AN SSSR, 190 (1970), 517–518  mathscinet
156. A. A. Karatsuba, “Estimates of character sums”, Math. USSR-Izv., 4:1 (1970), 19–29  mathnet  crossref  mathscinet  zmath
157. A. A. Karatsuba, “Sums of characters over prime numbers”, Math. USSR-Izv., 4:2 (1970), 303–326  mathnet  crossref  mathscinet  zmath

   1969
158. A. A. Karatsuba, “Trigonometric sums”, Dokl. AN SSSR, 189 (1969), 31–34  mathscinet

   1968
159. A. A. Karatsuba, “Ob odnoi asimptoticheskoi formule (k shestidesyatiletiyu A. O. Gelfonda)”, Tr. MMO, 18, Izd-vo Mosk. un-ta, M., 1968, 77–82  mathnet  mathnet  mathscinet  zmath
160. A. A. Karatsuba, “Sums of characters, and primitive roots, in finite fields”, Dokl. AN SSSR, 180 (1968), 1287–1289  mathscinet (cited: 8)
161. A. A. Karatsuba, “About a system of indeterminate equations”, Math. Notes, 4:1 (1968), 565–567  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)

   1967
162. A. A. Karatsuba, “Estimates of complete trigonometric sums”, Math. Notes, 1:2 (1967), 133–139  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)
163. A. A. Karatsuba, “The method of trigonometric sums and theorems of the mean”, Math. Notes, 1:1 (1967), 64–71  mathnet  crossref  scopus

   1966
164. A. A. Karatsuba, “Asymptotic formulae for a certain class of trigonometric sums”, Dokl. AN SSSR, 169 (1966), 9–11  mathscinet
165. A. A. Karatsuba, “Theorems on the mean and complete trigonometric sums”, Izv. Akad. Nauk SSSR Ser. Mat., 30:1 (1966), 183–206  mathnet  mathscinet  zmath

   1965
166. A. A. Karatsuba, “On estimation of the number of solutions of certain equations”, Dokl. AN SSSR, 165 (1965), 31–32  mathscinet (cited: 1)
167. A. A. Karatsuba, “Congruence systems and equations of Waring type”, Dokl. AN SSSR, 165 (1965), 274–276  mathscinet
168. A. A. Karatsuba, “On systems of congruences”, Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965), 935–944  mathnet  mathscinet  zmath

   1964
169. A. A. Karatsuba, “Trigonometric sums of a special type and their applications”, Izv. Akad. Nauk SSSR Ser. Mat., 28:1 (1964), 237–248  mathnet  mathscinet  zmath

   1963
170. A. A. Karatsuba, N. M. Korobov, “A mean-value theorem”, Dokl. AN SSSR, 149 (1963), 245–248  mathnet  mathscinet (cited: 1)  mathscinet (cited: 1)  zmath

   1962
171. A. A. Karatsuba, “Waring's problem for a congruence modulo the power of a prime”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 1962:4 (1962), 28–38  mathscinet (cited: 1)
172. A. A. Karatsuba, “Distribution of fractional parts of polynomials of a special type”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 1962:3 (1962), 34–39  mathscinet (cited: 2)
173. A. A. Karatsuba, “An analogue of Waring's problem”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 1962:1 (1962), 38–46  mathscinet (cited: 1)
174. A. A. Karatsuba, Yu. P. Ofman, “Umnozhenie mnogoznachnykh chisel na avtomatakh”, Dokl. AN SSSR, 145:2 (1962), 293–294  mathnet (cited: 13); A. A. Karatsuba, Yu. P. Ofman, “Multiplication of multidigit numbers on automata”, Soviet Physics-Doklady, 7 (1963), 595–596

   1961
175. A. A. Karatsuba, “Estimates of trigonometric sums of a special form, and their applications”, Dokl. AN SSSR, 137 (1961), 513–514  mathnet  mathscinet  mathscinet  zmath
176. A. A. Karatsuba, “Tarry's problem for a system of congruences”, Mat. Sb. (N.S.), 55(97):2 (1961), 209–220  mathnet  mathscinet  zmath

   1960
177. A. A. Karatsuba, “Solution to a problem in the theory of finite automatons”, Uspekhi Mat. Nauk, 15:3(93) (1960), 157–159  mathnet  mathscinet  zmath
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