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Karatsuba, Anatolii Alekseevich
(1937–2008)
Total publications: 179 (165)
in MathSciNet: 185 (175)
in zbMATH: 147 (140)
in Web of Science: 65 (56)
in Scopus: 79 (75)
Cited articles: 127
Citations: 1071
Presentations: 2

Number of views:
This page:9452
Abstract pages:68315
Full texts:36975
References:3880
Professor
Doctor of physico-mathematical sciences (1966)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 31.01.1937
Website: https://www.mi.ras.ru/~karatsuba
Keywords: analytic number theory, mathematical cybernetics.
   
Main publications:
  1. A. A. Karatsuba, “The complexity of computations”, Proc. Steklov Inst. Math., 211 (1995), 169–183  mathnet  mathscinet  zmath
  2. A. A. Karatsuba, “On the zeros of the Davenport–Heilbronn function lying on the critical line”, Math. USSR-Izv., 36:2 (1991), 311–324  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
  3. 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  scopus
  4. 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  scopus
  5. A. A. Karatsuba, “Sums of characters over prime numbers”, Math. USSR-Izv., 4:2 (1970), 303–326  mathnet  crossref  mathscinet  zmath  scopus

https://www.mathnet.ru/eng/person8787
List of publications on Google Scholar
https://zbmath.org/authors/ai:karatsuba.anatolij-alekseevich
https://mathscinet.ams.org/mathscinet/MRAuthorID/193625
https://elibrary.ru/author_items.asp?authorid=2648
https://www.researchgate.net/profile/Anatolii_Karatsuba

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2021
1. A. A. Karatsuba, “Five Lectures on the Life and Work of Academician I. M. Vinogradov”, Proc. Steklov Inst. Math., 314 (2021), 1–26  mathnet  crossref  crossref  isi  elib  scopus

   2017
2. A. A. Karatsuba, “Cosmology and zeta”, Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 11–17  mathnet  crossref  crossref  isi  elib  elib  scopus
3. A. A. Karatsuba, “On zeros of certain Dirichlet series”, Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 6–10  mathnet  crossref  crossref  isi  elib  elib  scopus
4. A. A. Karatsuba, “On local representation of zero by a form”, Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 1–5  mathnet  crossref  crossref  isi  elib  scopus

   2015
5. 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
6. 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

   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  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  elib  elib  scopus

   2010
9. A. A. Karatsuba, E. A. Karatsuba, “Physical mathematics in number theory”, Funct. Anal. Other Math., 3:1 (2010)  crossref  mathscinet 5
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  elib  elib  scopus

   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  zmath  adsnasa  isi  scopus 18
13. A. A. Karatsuba, “Euler and Number Theory”, Proc. Steklov Inst. Math., 264 (2009), 74–86  mathnet  crossref  mathscinet  isi  elib  scopus
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  zmath  isi  elib  scopus 5
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 1
17. 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  elib  elib  scopus

   2011
18. A. A. Karatsuba, “Euler and number theory”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), 169–179  mathnet  crossref  crossref  zmath  isi  elib  elib  scopus

   2007
19. A. A. Karatsuba, M. A. Korolëv, “Priblizhenie trigonometricheskoi summy bolee korotkoi”, Dokl. RAN, 412:2 (2007), 159–161  mathnet  mathscinet  zmath  elib 1
20. 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  zmath  isi  elib  scopus 11
21. 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  elib  elib  scopus

   2006
22. A. A. Karatsuba, “Trigonometricheskie summy Korobova”, Chebyshevskii sb., 7:3(19) (2006), 101–109  mathscinet  zmath
23. A. A. Karatsuba, “Zero multiplicity and lower bound estimates of $|\zeta(s)|$”, Funct. Approx. Comment. Math., 35 (2006), 195–207  crossref  mathscinet  zmath  elib  scopus 7
24. 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  zmath  isi  elib  scopus 7
25. 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  elib  elib  scopus

   2005
26. A. A. Karatsuba, “O kolichestve peremen znaka funktsii $R_1(x)$ i eë srednikh znachenii”, Chebyshevskii sb., 6:2(14) (2005), 163–183  mathscinet  zmath
27. A. A. Karatsuba, “Povedenie funktsii $R_1(x)$ i ee srednego znacheniya”, Dokl. RAN, 404:4 (2005), 439–442  mathnet  mathscinet  zmath  elib 2
28. A. A. Karatsuba, “O priblizheniyakh $\pi(x)$”, Chebyshevskii sb., 5:4(12) (2005), 5–20  mathscinet
29. 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  zmath  isi  elib  scopus 10
30. 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  elib  elib  scopus

   2004
31. A. A. Karatsuba, “On the asymptotic Riemann formula for $\pi(x)$”, Dokl. RAN, 396:5 (2004), 595–596  mathnet  mathscinet  zmath 1
32. 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  zmath
33. 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  elib  scopus

   2003
34. A. A. Karatsuba, “Omega Theorems for Zeta Sums”, Math. Notes, 73:2 (2003), 212–217  mathnet  crossref  crossref  mathscinet  zmath  isi
35. A. A. Karatsuba, “Zeros and Local Extrema of Trigonometric Sums”, Problems Inform. Transmission, 39:1 (2003), 78–91  mathnet  crossref  mathscinet  zmath

   2002
36. A. A. Karatsuba, “On zeros of trigonometric sums”, Dokl. RAN, 387:1 (2002), 11–12  mathnet  mathscinet  zmath 3
37. 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  scopus

   2001
38. A. A. Karatsuba, “On lower bounds for the Riemann zeta function”, Dokl. RAN, 376:1 (2001), 15–16  mathnet  mathscinet  zmath 6
39. A. A. Karatsuba, “On fractional parts of rapidly growing functions”, Izv. Math., 65:4 (2001), 727–748  mathnet  crossref  crossref  mathscinet  zmath  elib  scopus
40. 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  elib  scopus
41. 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  elib  scopus

   2000
42. A. A. Karatsuba, “Sums of characters with prime numbers and their applications”, Tatra Mt. Math. Publ., 20 (2000), 155–162  mathscinet  zmath
43. 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  crossref  mathscinet  zmath 4
44. A. A. Karatsuba, “Weighted character sums”, Izv. Math., 64:2 (2000), 249–263  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   1999
45. A. A. Karatsuba, “Double Kloosterman sums”, Math. Notes, 66:5 (1999), 565–569  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
46. 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  scopus

   1998
47. 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  zmath
48. 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  elib  scopus
49. A. A. Karatsuba, “Regular sets in residual classes”, Math. Notes, 64:2 (1998), 190–193  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

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

   1996
52. A. A. Karatsuba, “Sums of fractional parts of functions of a special form”, Dokl. Math., 54:1 (1996), 541  mathnet  mathscinet  zmath  isi  scopus
53. A. A. Karatsuba, “On the function $S(t)$”, Izv. Math., 60:5 (1996), 901–931  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
54. 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  elib  scopus

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

   1994
60. S. M. Voronin, A. A. Karatsuba, Dzeta-funktsiya Rimana, Fizmatlit, M., 1994 , 376 pp.  mathscinet
61. A. A. Karatsuba, “Zeros of arithmetic Dirichlet series”, Math. Slovaca, 44:5 (1994), 633–649 (Russian)  mathscinet  zmath

   1995
62. A. A. Karatsuba, “I. M. Vinogradov and his method of trigonometric sums”, Proc. Steklov Inst. Math., 207 (1995), 1–33  mathnet  mathscinet  zmath
63. A. A. Karatsuba, “A new approach to the problem of the zeros of some Dirichlet series”, Proc. Steklov Inst. Math., 207 (1995), 163–177  mathnet  mathscinet  zmath

   1994
64. Russian Acad. Sci. Dokl. Math., 48:3 (1994), 452–454  mathnet  mathscinet  zmath

   1993
65. A. A. Karatsuba, Basic analytic number theory, Springer-Verlag, Berlin, 1993 , xiv+222 pp.  mathscinet  zmath

   1994
66. A. A. Karatsuba, “On the zeros of arithmetic Dirichlet series without Euler product”, Russian Acad. Sci. Izv. Math., 43:2 (1994), 193–203  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1993
67. 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  scopus

   1992
68. 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  zmath
69. 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
70. Soviet Math. Dokl., 45:1 (1992), 46–47  mathnet  mathscinet  zmath

   1993
71. 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  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1992
72. 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  scopus

   1991
73. 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

   1992
74. Soviet Math. Dokl., 44:1 (1992), 145–148  mathnet  mathscinet  zmath

   1991
75. 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
76. Soviet Math. Dokl., 43:2 (1991), 589–590  mathnet  mathscinet  zmath

   1992
77. A. A. Karatsuba, “On the zeros of a special type of function connected with Dirichlet series”, Math. USSR-Izv., 38:3 (1992), 471–502  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1993
78. A. A. Karatsuba, “On density theorem”, Proc. Steklov Inst. Math., 200 (1993), 205–217  mathnet  mathscinet  zmath

   1991
79. A. A. Karatsuba, “On the zeros of the Davenport–Heilbronn function lying on the critical line”, Math. USSR-Izv., 36:2 (1991), 311–324  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1990
80. A. A. Karatsuba, “The distribution of prime numbers”, Russian Math. Surveys, 45:5 (1990), 99–171  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
81. A. A. Karatsuba, “Zeros of certain Dirichlet series”, Russian Math. Surveys, 45:1 (1990), 207–208  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1989
82. 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)  crossref  mathscinet  isi
83. A. A. Karatsuba, “On a Diophantine inequality”, Acta Arith., 53:3 (1989), 309–324  crossref  mathscinet  zmath  isi 3

   1987
84. 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  zmath  isi  scopus 16
85. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, Teoriya kratnykh trigonometricheskikh summ, Nauka, M., 1987 , 368 pp.  mathscinet

   1988
86. Soviet Math. Dokl., 36:1 (1988), 75–77  mathnet  mathscinet  zmath
87. A. A. Karatsuba, “The distribution of pairs of quadratic residues and nonresidues of a special form”, Math. USSR-Izv., 31:2 (1988), 307–323  mathnet  crossref  mathscinet  zmath  scopus

   1987
88. A. A. Karatsuba, “The Hilbert–Kamke problem in analytic number theory”, Math. Notes, 41:2 (1987), 155–161  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   1985
89. A. A. Karatsuba, “Zeros of the function $\zeta(\frac12+it)$”, Dokl. AN SSSR, 281:5 (1985), 1038–1041  mathnet  mathscinet  zmath

   1986
90. A. A. Karatsuba, “On the function $G(n)$ in Waring's problem”, Math. USSR-Izv., 27:2 (1986), 239–249  mathnet  crossref  mathscinet  zmath  scopus

   1985
91. A. A. Karatsuba, “The Riemann zeta function and its zeros”, Russian Math. Surveys, 40:5 (1985), 23–82  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
92. 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  scopus

   1986
93. A. A. Karatsuba, “Zeros of the Riemann zeta function on the critical line”, Proc. Steklov Inst. Math., 167 (1986), 187–200  mathnet  mathscinet  zmath
94. 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  mathnet  crossref  mathscinet  zmath  scopus

   1984
95. A. A. Karatsuba, “Quadratic residues and nonresidues in sparse sequences”, Dokl. AN SSSR, 279:5 (1984), 1044–1046  mathnet  mathscinet  zmath 2
96. A. A. Karatsuba, “Zeros of the Riemann zeta function”, Dokl. AN SSSR, 276:3 (1984), 535–539  mathnet  mathscinet  zmath 2
97. 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  scopus

   1986
98. I. M. Vinogradov, A. A. Karatsuba, “The method of trigonometric sums in number theory”, Proc. Steklov Inst. Math., 168 (1986), 3–30  mathnet  mathscinet  zmath

   1985
99. A. A. Karatsuba, “Vinogradov's method of trigonometric sums”, Proc. Steklov Inst. Math., 163 (1985), 117–123  mathnet  mathscinet  zmath
100. A. A. Karatsuba, “The distribution of zeros of the function $\zeta(1/2+it)$”, Math. USSR-Izv., 25:3 (1985), 519–529  mathnet  crossref  mathscinet  zmath  scopus

   1983
101. A. A. Karatsuba, “Teoriya chisel”, Ocherki razvitiya matematiki v SSSR. Teoreticheskaya matematika. Prikladnye voprosy matematiki, Naukova dumka, Kiev, 1983, 106–133 (Russian)  mathscinet
102. A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, 2-e izd., Nauka, M., 1983 , 240 pp.  mathscinet
103. 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  mathscinet  zmath 1
104. 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  mathscinet  zmath 4

   1984
105. 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  mathnet  crossref  mathscinet  zmath  scopus

   1982
106. 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  mathnet  mathscinet  mathscinet  zmath 1
107. 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  scopus

   1981
108. A. A. Karatsuba, “On a problem with prime numbers”, Dokl. AN SSSR, 259:6 (1981), 1291–1293  mathnet  mathscinet  mathscinet  zmath 2

   1982
109. G. I. Arkhipov, A. A. Karatsuba, “On local representation of zero by a form”, Math. USSR-Izv., 19:2 (1982), 231–240  mathnet  crossref  mathscinet  zmath  scopus

   1983
110. 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  mathnet  mathscinet  zmath

   1980
111. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Uniform estimates of multiple trigonometric sums”, Dokl. AN SSSR, 252:6 (1980), 1289–1291  mathnet  mathscinet  mathscinet  zmath 2
112. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “On a system of Diophantine equations”, Dokl. AN SSSR, 252:2 (1980), 275–276  mathnet  mathscinet  mathscinet  zmath 1

   1981
113. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Multiple trigonometric sums and their applications”, Math. USSR-Izv., 17:1 (1981), 1–54  mathnet  crossref  mathscinet  zmath  isi  scopus

   1982
114. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Multiple trigonometric sums”, Proc. Steklov Inst. Math., 151:2 (1982), 1–126  mathnet  mathscinet  mathscinet  zmath

   1979
115. 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  mathnet  mathscinet  mathscinet  zmath 5
116. A. A. Karatsuba, Fundamentos de la teoría analítica de los números, Mir, M., 1979 , 245 pp. (Spanish)  mathscinet

   1980
117. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Trigonometric integrals”, Math. USSR-Izv., 15:2 (1980), 211–239  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1979
118. 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  elib  scopus

   1978
119. A. A. Karatsuba, “Asymptotics of an arithmetic sum”, Math. Notes, 24:6 (1978), 893–895  mathnet  crossref  mathscinet  zmath  scopus
120. A. A. Karatsuba, “Distribution of the values of Legendre symbols in polynomials with prime numbers”, Dokl. AN SSSR, 238:3 (1978), 524–526  mathnet  mathscinet  mathscinet  zmath 2
121. G. I. Arkhipov, A. A. Karatsuba, “I. M. Vinogradov's integral”, Dokl. AN SSSR, 239:4 (1978), 764–765  mathnet  mathscinet  mathscinet  zmath

   1979
122. 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  mathnet  crossref  mathscinet  zmath  isi  scopus

   1978
123. 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  scopus

   1979
124. G. I. Arkhipov, A. A. Karatsuba, “A new estimate of an integral of I. M. Vinogradov”, Math. USSR-Izv., 13:1 (1979), 52–62  mathnet  crossref  mathscinet  zmath  isi  scopus

   1980
125. 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  mathnet  mathscinet  zmath

   1979
126. A. A. Karatsuba, “Distribution of values of nonprincipal characters”, Proc. Steklov Inst. Math., 142 (1979), 165–174  mathnet  mathscinet  zmath

   1976
127. A. A. Karatsuba, “A system of congruences”, Math. Notes, 19:3 (1976), 237–239  mathnet  crossref  mathscinet  zmath  elib  scopus

   1975
128. A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, Nauka, M., 1975 , 183 pp.  mathscinet
129. 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
130. 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)  crossref  mathscinet  zmath 4
131. A. A. Karatsuba, “Some problems of contemporary analytic number theorem”, Math. Notes, 17:2 (1975), 195–199  mathnet  crossref  mathscinet  zmath  scopus
132. 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  scopus

   1973
133. 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
134. 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  scopus
135. A. A. Karatsuba, “Lower estimates of sums of polynomial characters”, Math. Notes, 14:1 (1973), 593–596  mathnet  crossref  mathscinet  zmath  scopus

   1972
136. A. A. Karatsuba, “The problem of Dirichlet divisors in number fields”, Dokl. AN SSSR, 204 (1972), 540–541  mathnet  mathscinet  mathscinet  zmath 1
137. 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  scopus

   1971
138. 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
139. Soviet Math. Dokl., 12 (1971), 1172–1174  mathnet  mathscinet  mathscinet  zmath
140. A. A. Karatsuba, “Distribution of power residues and non-residues in additive squences.”, Dokl. AN SSSR, 196 (1971), 759–760  mathnet  mathscinet  mathscinet  zmath 5
141. 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  scopus

   1970
142. A. A. Karatsuba, “The distribution of products of shifted prime numbers in arithmetic progressions”, Dokl. AN SSSR, 192 (1970), 724–727  mathnet  mathscinet  mathscinet  zmath 12
143. A. A. Karatsuba, “Sums of characters with prime numbers”, Dokl. AN SSSR, 190 (1970), 517–518  mathnet  mathscinet  mathscinet  zmath 6
144. A. A. Karatsuba, “Estimates of character sums”, Math. USSR-Izv., 4:1 (1970), 19–29  mathnet  crossref  mathscinet  zmath  scopus
145. A. A. Karatsuba, “Sums of characters over prime numbers”, Math. USSR-Izv., 4:2 (1970), 303–326  mathnet  crossref  mathscinet  zmath  scopus

   1969
146. A. A. Karatsuba, “Trigonometric sums”, Dokl. AN SSSR, 189 (1969), 31–34  mathnet  mathscinet  mathscinet  zmath 2

   1968
147. 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
148. A. A. Karatsuba, “Sums of characters, and primitive roots, in finite fields”, Dokl. AN SSSR, 180 (1968), 1287–1289  mathnet  mathscinet  mathscinet  zmath 14
149. A. A. Karatsuba, “About a system of indeterminate equations”, Math. Notes, 4:1 (1968), 565–567  mathnet  crossref  mathscinet  zmath  scopus

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

   1966
152. A. A. Karatsuba, “Asymptotic formulae for a certain class of trigonometric sums”, Dokl. AN SSSR, 169 (1966), 9–11  mathnet  mathscinet  mathscinet  zmath 2
153. 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
154. A. A. Karatsuba, “On estimation of the number of solutions of certain equations”, Dokl. AN SSSR, 165 (1965), 31–32  mathnet  mathscinet  mathscinet  zmath 2
155. A. A. Karatsuba, “Congruence systems and equations of Waring type”, Dokl. AN SSSR, 165 (1965), 274–276  mathnet  mathscinet  mathscinet  zmath 5
156. A. A. Karatsuba, “On systems of congruences”, Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965), 935–944  mathnet  mathscinet  zmath

   1964
157. 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
158. A. A. Karatsuba, N. M. Korobov, “A mean-value theorem”, Dokl. AN SSSR, 149 (1963), 245–248  mathnet  mathscinet  mathscinet  zmath 3

   1962
159. 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  zmath
160. 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
161. A. A. Karatsuba, “An analogue of Waring's problem”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 1962:1 (1962), 38–46  mathscinet  zmath

   1963
162. A. A. Karatsuba, Yu. P. Ofman, “Multiplication of multidigit numbers on automata”, Soviet Physics-Doklady, 7 (1963), 595–596  mathnet  adsnasa

   1961
163. 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
164. 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
165. 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

Presentations in Math-Net.Ru
1. Euler and number theory
A. A. Karatsuba
Scientific conference "Leonhard Euler and Contemporary Mathematics"
May 17, 2007
2. Lower bounds and the multiplicity of a zero of the Riemann zeta-function
A. A. Karatsuba
Steklov Mathematical Institute Seminar
January 18, 2007 16:00   

Books in Math-Net.Ru
  1. Number theory and analysis, Proceeding of the International Conference on number theory dedicated to the Centenary of I. M. Vinogradov, Trudy Mat. Inst. Steklov., 207, ed. E. F. Mishchenko, A. A. Karatsuba, 1994, 384 ñ.
    http://mi.mathnet.ru/book1089
  2. G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, Multiple trigonometric sums, Trudy Mat. Inst. Steklov., 151, ed. S. M. Nikol'skii, 1980, 128 ñ.
    http://mi.mathnet.ru/book1189

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