Persons: Karatsuba, Anatolii Alekseevich

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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:	9273
Abstract pages:	65628
Full texts:	35910
References:	3393

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:

A. A. Karatsuba, “The complexity of computations”, Proc. Steklov Inst. Math., 211 (1995), 169–183
A. A. Karatsuba, “On the zeros of the Davenport–Heilbronn function lying on the critical line”, Math. USSR-Izv., 36:2 (1991), 311–324
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
A. A. Karatsuba, “Uniform approximation of the remainder term in the Dirichlet divisor problem”, Math. USSR-Izv., 6:3 (1972), 467–475
A. A. Karatsuba, “Sums of characters over prime numbers”, Math. USSR-Izv., 4:2 (1970), 303–326

https://www.mathnet.ru/eng/person8787

List of publications on Google Scholar

https://zbmath.org/authors/?q=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

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

1.	A. A. Karatsuba, “Five Lectures on the Life and Work of Academician I. M. Vinogradov”, Proc. Steklov Inst. Math., 314 (2021), 1–26
2.	A. A. Karatsuba, “Cosmology and zeta”, Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 11–17
3.	A. A. Karatsuba, “On zeros of certain Dirichlet series”, Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 6–10
4.	A. A. Karatsuba, “On local representation of zero by a form”, Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 1–5
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
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
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
8.	A. A. Karatsuba, “A property of the set of prime numbers”, Russian Math. Surveys, 66:2 (2011), 209–220
9.	A. A. Karatsuba, E. A. Karatsuba, “Physical mathematics in number theory”, Funct. Anal. Other Math., 3:1 (2010)	5 ^[x]
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
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.	17 ^[x]
13.	A. A. Karatsuba, “Euler and Number Theory”, Proc. Steklov Inst. Math., 264 (2009), 74–86
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	4 ^[x]
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
16.	A. A. Karatsuba, “Nelineinye summy kharakterov s prostymi chislami”, Dokl. RAN, 421:2 (2008), 162–163	1 ^[x]
17.	A. A. Karatsuba, “Arithmetic problems in the theory of Dirichlet characters”, Russian Math. Surveys, 63:4 (2008), 641–690
18.	A. A. Karatsuba, “Euler and number theory”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), 169–179
19.	A. A. Karatsuba, M. A. Korolëv, “Priblizhenie trigonometricheskoi summy bolee korotkoi”, Dokl. RAN, 412:2 (2007), 159–161	1 ^[x]
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	11 ^[x]
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
22.	A. A. Karatsuba, “Trigonometricheskie summy Korobova”, Chebyshevskii sb., 7:3(19) (2006), 101–109
23.	A. A. Karatsuba, “Zero multiplicity and lower bound estimates of $\|\zeta(s)\|$”, Funct. Approx. Comment. Math., 35 (2006), 195–207	7 ^[x]
24.	M. Z. Garaev , A. A. Karatsuba, “New estimates of double trigonometric sums with exponential functions”, Arch. Math. (Basel), 87:1 (2006), 33–40	6 ^[x]
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
26.	A. A. Karatsuba, “O kolichestve peremen znaka funktsii $R_1(x)$ i eë srednikh znachenii”, Chebyshevskii sb., 6:2(14) (2005), 163–183
27.	A. A. Karatsuba, “Povedenie funktsii $R_1(x)$ i ee srednego znacheniya”, Dokl. RAN, 404:4 (2005), 439–442	1 ^[x]
28.	A. A. Karatsuba, “O priblizheniyakh $\pi(x)$”, Chebyshevskii sb., 5:4(12) (2005), 5–20
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	10 ^[x]
30.	A. A. Karatsuba, M. A. Korolev, “The argument of the Riemann zeta function”, Russian Math. Surveys, 60:3 (2005), 433–488
31.	A. A. Karatsuba, “On the asymptotic Riemann formula for $\pi(x)$”, Dokl. RAN, 396:5 (2004), 595–596	1 ^[x]
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.
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
34.	A. A. Karatsuba, “Omega Theorems for Zeta Sums”, Math. Notes, 73:2 (2003), 212–217
35.	A. A. Karatsuba, “Zeros and Local Extrema of Trigonometric Sums”, Problems Inform. Transmission, 39:1 (2003), 78–91
36.	A. A. Karatsuba, “On zeros of trigonometric sums”, Dokl. RAN, 387:1 (2002), 11–12	3 ^[x]
37.	A. A. Karatsuba, “Fractional Moments and Zeros of $\zeta (s)$ on the Critical Line”, Math. Notes, 72:4 (2002), 466–472
38.	A. A. Karatsuba, “On lower bounds for the Riemann zeta function”, Dokl. RAN, 376:1 (2001), 15–16	6 ^[x]
39.	A. A. Karatsuba, “On fractional parts of rapidly growing functions”, Izv. Math., 65:4 (2001), 727–748
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
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
42.	A. A. Karatsuba, “Sums of characters with prime numbers and their applications”, Tatra Mt. Math. Publ., 20 (2000), 155–162
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	4 ^[x]
44.	A. A. Karatsuba, “Weighted character sums”, Izv. Math., 64:2 (2000), 249–263
45.	A. A. Karatsuba, “Double Kloosterman sums”, Math. Notes, 66:5 (1999), 565–569
46.	A. A. Karatsuba, B. Novak, “Arithmetical problems with numbers of special type”, Math. Notes, 66:2 (1999), 251–253
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)
48.	A. A. Karatsuba, “An estimate of the $L_1$-norm of an exponential sum”, Math. Notes, 64:3 (1998), 401–404
49.	A. A. Karatsuba, “Regular sets in residual classes”, Math. Notes, 64:2 (1998), 190–193
50.	A. A. Karatsuba, “Analogues of incomplete Kloosterman sums and their applications”, Tatra Mt. Math. Publ., 11 (1997), 89–120 (Russian)
51.	A. A. Karatsuba, “Additive congruences”, Izv. Math., 61:2 (1997), 317–329
52.	A. A. Karatsuba, “Sums of fractional parts of functions of a special form”, Dokl. Math., 54:1 (1996), 541
53.	A. A. Karatsuba, “On the function $S(t)$”, Izv. Math., 60:5 (1996), 901–931
54.	A. A. Karatsuba, “Density theorem and the behavior of the argument of the Riemann zeta function”, Math. Notes, 60:3 (1996), 333–334
55.	A. A. Karatsuba, Complex analysis in number theory, CRC Press, Boca Raton, FL, 1995 , x+187 pp.
56.	A. A. Karatsuba, “Analogues of Kloosterman sums”, Izv. Math., 59:5 (1995), 971–981
57.	A. A. Karatsuba, “Fractional parts of functions of a special form”, Izv. Math., 59:4 (1995), 721–740
58.	A. A. Karatsuba, “On a certain arithmetic function”, Russian Math. Surveys, 50:5 (1995), 1088–1089
59.	A. A. Karatsuba, “The complexity of computations”, Proc. Steklov Inst. Math., 211 (1995), 169–183
60.	S. M. Voronin, A. A. Karatsuba, Dzeta-funktsiya Rimana, Fizmatlit, M., 1994 , 376 pp.
61.	A. A. Karatsuba, “Zeros of arithmetic Dirichlet series”, Math. Slovaca, 44:5 (1994), 633–649 (Russian)
62.	A. A. Karatsuba, “I. M. Vinogradov and his method of trigonometric sums”, Proc. Steklov Inst. Math., 207 (1995), 1–33
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
64.	Russian Acad. Sci. Dokl. Math., 48:3 (1994), 452–454
65.	A. A. Karatsuba, Basic analytic number theory, Springer-Verlag, Berlin, 1993 , xiv+222 pp.
66.	A. A. Karatsuba, “On the zeros of arithmetic Dirichlet series without Euler product”, Russian Acad. Sci. Izv. Math., 43:2 (1994), 193–203
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
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
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.
70.	Soviet Math. Dokl., 45:1 (1992), 46–47
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
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
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)
74.	Soviet Math. Dokl., 44:1 (1992), 145–148
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
76.	Soviet Math. Dokl., 43:2 (1991), 589–590
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
78.	A. A. Karatsuba, “On density theorem”, Proc. Steklov Inst. Math., 200 (1993), 205–217
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
80.	A. A. Karatsuba, “The distribution of prime numbers”, Russian Math. Surveys, 45:5 (1990), 99–171
81.	A. A. Karatsuba, “Zeros of certain Dirichlet series”, Russian Math. Surveys, 45:1 (1990), 207–208
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)
83.	A. A. Karatsuba, “On a Diophantine inequality”, Acta Arith., 53:3 (1989), 309–324	3 ^[x]
84.	A. A. Karatsuba, “Approximation of exponential sums by shorter ones”, Proc. Indian Acad. Sci. Math. Sci., 97:1-3 (1987), 167–178 (1988)	16 ^[x]
85.	G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, Teoriya kratnykh trigonometricheskikh summ, Nauka, M., 1987 , 368 pp.
86.	Soviet Math. Dokl., 36:1 (1988), 75–77
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
88.	A. A. Karatsuba, “The Hilbert–Kamke problem in analytic number theory”, Math. Notes, 41:2 (1987), 155–161
89.	A. A. Karatsuba, “Zeros of the function $\zeta(\frac12+it)$”, Dokl. AN SSSR, 281:5 (1985), 1038–1041
90.	A. A. Karatsuba, “On the function $G(n)$ in Waring's problem”, Math. USSR-Izv., 27:2 (1986), 239–249
91.	A. A. Karatsuba, “The Riemann zeta function and its zeros”, Russian Math. Surveys, 40:5 (1985), 23–82
92.	A. A. Karatsuba, “On the real zeros of the function $\zeta(1/2+it)$”, Russian Math. Surveys, 40:4 (1985), 191–192
93.	A. A. Karatsuba, “Zeros of the Riemann zeta function on the critical line”, Proc. Steklov Inst. Math., 167 (1986), 187–200
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
95.	A. A. Karatsuba, “Quadratic residues and nonresidues in sparse sequences”, Dokl. AN SSSR, 279:5 (1984), 1044–1046	2 ^[x]
96.	A. A. Karatsuba, “Zeros of the Riemann zeta function”, Dokl. AN SSSR, 276:3 (1984), 535–539	2 ^[x]
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
98.	I. M. Vinogradov, A. A. Karatsuba, “The method of trigonometric sums in number theory”, Proc. Steklov Inst. Math., 168 (1986), 3–30
99.	A. A. Karatsuba, “Vinogradov's method of trigonometric sums”, Proc. Steklov Inst. Math., 163 (1985), 117–123
100.	A. A. Karatsuba, “The distribution of zeros of the function $\zeta(1/2+it)$”, Math. USSR-Izv., 25:3 (1985), 519–529
101.	A. A. Karatsuba, “Teoriya chisel”, Ocherki razvitiya matematiki v SSSR. Teoreticheskaya matematika. Prikladnye voprosy matematiki, Naukova dumka, Kiev, 1983, 106–133 (Russian)
102.	A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, 2-e izd., Nauka, M., 1983 , 240 pp.
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	1 ^[x]
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	4 ^[x]
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
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	1 ^[x]
107.	G. I. Arkhipov, A. A. Karatsuba, “A problem in the theory of congruences”, Russian Math. Surveys, 37:5 (1982), 157–158
108.	A. A. Karatsuba, “On a problem with prime numbers”, Dokl. AN SSSR, 259:6 (1981), 1291–1293	2 ^[x]
109.	G. I. Arkhipov, A. A. Karatsuba, “On local representation of zero by a form”, Math. USSR-Izv., 19:2 (1982), 231–240
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
111.	G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Uniform estimates of multiple trigonometric sums”, Dokl. AN SSSR, 252:6 (1980), 1289–1291	2 ^[x]
112.	G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “On a system of Diophantine equations”, Dokl. AN SSSR, 252:2 (1980), 275–276	1 ^[x]
113.	G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Multiple trigonometric sums and their applications”, Math. USSR-Izv., 17:1 (1981), 1–54
114.	G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Multiple trigonometric sums”, Proc. Steklov Inst. Math., 151:2 (1982), 1–126
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	5 ^[x]
116.	A. A. Karatsuba, Fundamentos de la teoría analítica de los números, Mir, M., 1979 , 245 pp. (Spanish)
117.	G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Trigonometric integrals”, Math. USSR-Izv., 15:2 (1980), 211–239
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
119.	A. A. Karatsuba, “Asymptotics of an arithmetic sum”, Math. Notes, 24:6 (1978), 893–895
120.	A. A. Karatsuba, “Distribution of the values of Legendre symbols in polynomials with prime numbers”, Dokl. AN SSSR, 238:3 (1978), 524–526	2 ^[x]
121.	G. I. Arkhipov, A. A. Karatsuba, “I. M. Vinogradov's integral”, Dokl. AN SSSR, 239:4 (1978), 764–765
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
123.	A. A. Karatsuba, “Sums of Legendre symbols of polynomials of second degree over prime numbers”, Math. USSR-Izv., 12:2 (1978), 299–308
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
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
126.	A. A. Karatsuba, “Distribution of values of nonprincipal characters”, Proc. Steklov Inst. Math., 142 (1979), 165–174
127.	A. A. Karatsuba, “A system of congruences”, Math. Notes, 19:3 (1976), 237–239
128.	A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, Nauka, M., 1975 , 183 pp.
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)
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)	4 ^[x]
131.	A. A. Karatsuba, “Some problems of contemporary analytic number theorem”, Math. Notes, 17:2 (1975), 195–199
132.	A. A. Karatsuba, “Sums of characters in sequences of shifted prime numbers, with applications”, Math. Notes, 17:1 (1975), 91–93
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
134.	A. A. Karatsuba, “The mean value of the modulus of a trigonometric sum”, Math. USSR-Izv., 7:6 (1973), 1199–1223
135.	A. A. Karatsuba, “Lower estimates of sums of polynomial characters”, Math. Notes, 14:1 (1973), 593–596
136.	A. A. Karatsuba, “The problem of Dirichlet divisors in number fields”, Dokl. AN SSSR, 204 (1972), 540–541	1 ^[x]
137.	A. A. Karatsuba, “Uniform approximation of the remainder term in the Dirichlet divisor problem”, Math. USSR-Izv., 6:3 (1972), 467–475
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
139.	Soviet Math. Dokl., 12 (1971), 1172–1174
140.	A. A. Karatsuba, “Distribution of power residues and non-residues in additive squences.”, Dokl. AN SSSR, 196 (1971), 759–760	5 ^[x]
141.	A. A. Karatsuba, “Sums of characters with prime numbers in an arithmetic progression”, Math. USSR-Izv., 5:3 (1971), 485–501
142.	A. A. Karatsuba, “The distribution of products of shifted prime numbers in arithmetic progressions”, Dokl. AN SSSR, 192 (1970), 724–727	12 ^[x]
143.	A. A. Karatsuba, “Sums of characters with prime numbers”, Dokl. AN SSSR, 190 (1970), 517–518	6 ^[x]
144.	A. A. Karatsuba, “Estimates of character sums”, Math. USSR-Izv., 4:1 (1970), 19–29
145.	A. A. Karatsuba, “Sums of characters over prime numbers”, Math. USSR-Izv., 4:2 (1970), 303–326
146.	A. A. Karatsuba, “Trigonometric sums”, Dokl. AN SSSR, 189 (1969), 31–34	2 ^[x]
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
148.	A. A. Karatsuba, “Sums of characters, and primitive roots, in finite fields”, Dokl. AN SSSR, 180 (1968), 1287–1289	14 ^[x]
149.	A. A. Karatsuba, “About a system of indeterminate equations”, Math. Notes, 4:1 (1968), 565–567
150.	A. A. Karatsuba, “Estimates of complete trigonometric sums”, Math. Notes, 1:2 (1967), 133–139
151.	A. A. Karatsuba, “The method of trigonometric sums and theorems of the mean”, Math. Notes, 1:1 (1967), 64–71
152.	A. A. Karatsuba, “Asymptotic formulae for a certain class of trigonometric sums”, Dokl. AN SSSR, 169 (1966), 9–11	2 ^[x]
153.	A. A. Karatsuba, “Theorems on the mean and complete trigonometric sums”, Izv. Akad. Nauk SSSR Ser. Mat., 30:1 (1966), 183–206
154.	A. A. Karatsuba, “On estimation of the number of solutions of certain equations”, Dokl. AN SSSR, 165 (1965), 31–32	2 ^[x]
155.	A. A. Karatsuba, “Congruence systems and equations of Waring type”, Dokl. AN SSSR, 165 (1965), 274–276	5 ^[x]
156.	A. A. Karatsuba, “On systems of congruences”, Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965), 935–944
157.	A. A. Karatsuba, “Trigonometric sums of a special type and their applications”, Izv. Akad. Nauk SSSR Ser. Mat., 28:1 (1964), 237–248
158.	A. A. Karatsuba, N. M. Korobov, “A mean-value theorem”, Dokl. AN SSSR, 149 (1963), 245–248	3 ^[x]
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
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
161.	A. A. Karatsuba, “An analogue of Waring's problem”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 1962:1 (1962), 38–46
162.	A. A. Karatsuba, Yu. P. Ofman, “Multiplication of multidigit numbers on automata”, Soviet Physics-Doklady, 7 (1963), 595–596
163.	A. A. Karatsuba, “Estimates of trigonometric sums of a special form, and their applications”, Dokl. AN SSSR, 137 (1961), 513–514
164.	A. A. Karatsuba, “Tarry's problem for a system of congruences”, Mat. Sb. (N.S.), 55(97):2 (1961), 209–220
165.	A. A. Karatsuba, “Solution to a problem in the theory of finite automatons”, Uspekhi Mat. Nauk, 15:3(93) (1960), 157–159
166.	A. A. Karatsuba, “Comments to My Works,Written by Myself”, Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S1–S23
167.	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	1 ^[x]
168.	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
169.	G. I. Arkhipov, A. I. Galochkin, G. Ya. Galin, A. A. Karatsuba, V. N. Latyshev, T. P. Lukashenko, O. B. Lupanov, Yu. N. Makarov, Yu. V. Nesterenko, M. K. Potapov, V. G. Chirskii, V. N. Chubarikov, “Andrei Borisovich Shidlovskii (on the occasion of his 90th birthday)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 3, 68–70
170.	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
171.	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
172.	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
173.	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.
174.	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
175.	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
176.	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
177.	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
178.	A. A. Karatsuba, “Ivan Matveevich Vinogradov (on his ninetieth birthday)”, Russian Math. Surveys, 36:6 (1981), 1–17
179.	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

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

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 с.
http://mi.mathnet.ru/book1089
G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, Multiple trigonometric sums, Trudy Mat. Inst. Steklov., 151, ed. S. M. Nikol'skii, 1980, 128 с.
http://mi.mathnet.ru/book1189

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