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Karatsuba Anatolii Alekseevich
(full list of publications)

by years

scientific publications

by types



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

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

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
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

2013
7.	A. A. Karatsuba, “Comments to My Works,Written by Myself”, Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S1–S23 (cited: 3)

2011
8.	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 (cited: 4) (cited: 1)
9.	A. A. Karatsuba, “A property of the set of prime numbers”, Russian Math. Surveys, 66:2 (2011), 209–220 (cited: 7) (cited: 4)

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

2009
13.	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. (cited: 11) (cited: 12)
14.	A. A. Karatsuba, “Euler and Number Theory”, Proc. Steklov Inst. Math., 264 (2009), 74–86 (cited: 1) (cited: 1)
15.	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 (cited: 6) (cited: 5)
16.	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
17.	A. A. Karatsuba, “Nelineinye summy kharakterov s prostymi chislami”, Dokl. RAN, 421:2 (2008), 162–163 (cited: 1)
18.	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
19.	A. A. Karatsuba, “Arithmetic problems in the theory of Dirichlet characters”, Russian Math. Surveys, 63:4 (2008), 641–690 (cited: 18) (cited: 4) (cited: 4) (cited: 13)

2011
20.	A. A. Karatsuba, “Euler and number theory”, Proc. Steklov Inst. Math., 274, suppl. 1 (2011), 169–179 (cited: 1) (cited: 1)

2007
21.	A. A. Karatsuba, M. A. Korolëv, “Priblizhenie trigonometricheskoi summy bolee korotkoi”, Dokl. RAN, 412:2 (2007), 159–161 (cited: 1) (cited: 3)
22.	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 (cited: 10) (cited: 9) (cited: 11)
23.	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 (cited: 6) (cited: 2) (cited: 2) (cited: 3)

2006
24.	A. A. Karatsuba, “Trigonometricheskie summy Korobova”, Chebyshevskii sb., 7:3(19) (2006), 101–109
25.	A. A. Karatsuba, “Zero multiplicity and lower bound estimates of $\|\zeta(s)\|$”, Funct. Approx. Comment. Math., 35 (2006), 195–207 (cited: 6)
26.	M. Z. Garaev , A. A. Karatsuba, “New estimates of double trigonometric sums with exponential functions”, Arch. Math. (Basel), 87:1 (2006), 33–40 (cited: 7) (cited: 7) (cited: 8)
27.	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 (cited: 20) (cited: 10) (cited: 10) (cited: 14)
28.	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
29.	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

2005
30.	A. A. Karatsuba, “O kolichestve peremen znaka funktsii $R_1(x)$ i eë srednikh znachenii”, Chebyshevskii sb., 6:2(14) (2005), 163–183
31.	A. A. Karatsuba, “Povedenie funktsii $R_1(x)$ i ee srednego znacheniya”, Dokl. RAN, 404:4 (2005), 439–442 (cited: 1) (cited: 1)
32.	A. A. Karatsuba, “O priblizheniyakh $\pi(x)$”, Chebyshevskii sb., 5:4(12) (2005), 5–20
33.	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 (cited: 14) (cited: 11) (cited: 15)
34.	A. A. Karatsuba, M. A. Korolev, “The argument of the Riemann zeta function”, Russian Math. Surveys, 60:3 (2005), 433–488 (cited: 32) (cited: 31) (cited: 31) (cited: 23)

2004
35.	A. A. Karatsuba, “On the asymptotic Riemann formula for $\pi(x)$”, Dokl. RAN, 396:5 (2004), 595–596 (cited: 1)
36.	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.
37.	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 (cited: 4) (cited: 3) (cited: 3)

2003
38.	A. A. Karatsuba, “Omega Theorems for Zeta Sums”, Math. Notes, 73:2 (2003), 212–217 (cited: 2)
39.	A. A. Karatsuba, “Zeros and Local Extrema of Trigonometric Sums”, Problems Inform. Transmission, 39:1 (2003), 78–91
40.	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

2002
41.	A. A. Karatsuba, “On zeros of trigonometric sums”, Dokl. RAN, 387:1 (2002), 11–12 (cited: 3)
42.	A. A. Karatsuba, “Fractional Moments and Zeros of $\zeta (s)$ on the Critical Line”, Math. Notes, 72:4 (2002), 466–472 (cited: 4) (cited: 1)

2001
43.	A. A. Karatsuba, “On lower bounds for the Riemann zeta function”, Dokl. RAN, 376:1 (2001), 15–16 (cited: 5)
44.	A. A. Karatsuba, “On fractional parts of rapidly growing functions”, Izv. Math., 65:4 (2001), 727–748 (cited: 1) (cited: 1)
45.	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 (cited: 10) (cited: 7) (cited: 8)
46.	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 (cited: 2)

2000
47.	A. A. Karatsuba, “Sums of characters with prime numbers and their applications”, Tatra Mt. Math. Publ., 20 (2000), 155–162
48.	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
49.	A. A. Karatsuba, “Weighted character sums”, Izv. Math., 64:2 (2000), 249–263 (cited: 11) (cited: 5) (cited: 6)

1999
50.	A. A. Karatsuba, “Double Kloosterman sums”, Math. Notes, 66:5 (1999), 565–569 (cited: 13) (cited: 14) (cited: 8)
51.	A. A. Karatsuba, B. Novak, “Arithmetical problems with numbers of special type”, Math. Notes, 66:2 (1999), 251–253 (cited: 3) (cited: 4)

1998
52.	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)
53.	A. A. Karatsuba, “An estimate of the $L_1$-norm of an exponential sum”, Math. Notes, 64:3 (1998), 401–404 (cited: 10) (cited: 9) (cited: 9)
54.	A. A. Karatsuba, “Regular sets in residual classes”, Math. Notes, 64:2 (1998), 190–193 (cited: 2)
55.	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
56.	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

1997
57.	A. A. Karatsuba, “Analogues of incomplete Kloosterman sums and their applications”, Tatra Mt. Math. Publ., 11 (1997), 89–120 (Russian)
58.	A. A. Karatsuba, “Additive congruences”, Izv. Math., 61:2 (1997), 317–329 (cited: 3) (cited: 1)

1996
59.	A. A. Karatsuba, “Sums of fractional parts of functions of a special form”, Dokl. Math., 54:1 (1996), 541 (cited: 2) (cited: 5)
60.	A. A. Karatsuba, “On the function $S(t)$”, Izv. Math., 60:5 (1996), 901–931 (cited: 13) (cited: 11)
61.	A. A. Karatsuba, “Density theorem and the behavior of the argument of the Riemann zeta function”, Math. Notes, 60:3 (1996), 333–334 (cited: 7) (cited: 5) (cited: 7)

1995
62.	A. A. Karatsuba, Complex analysis in number theory, CRC Press, Boca Raton, FL, 1995 , x+187 pp.
63.	A. A. Karatsuba, “Analogues of Kloosterman sums”, Izv. Math., 59:5 (1995), 971–981 (cited: 38) (cited: 13)
64.	A. A. Karatsuba, “Fractional parts of functions of a special form”, Izv. Math., 59:4 (1995), 721–740 (cited: 25) (cited: 17)
65.	A. A. Karatsuba, “On a certain arithmetic function”, Russian Math. Surveys, 50:5 (1995), 1088–1089 (cited: 1)
66.	A. A. Karatsuba, “The complexity of computations”, Proc. Steklov Inst. Math., 211 (1995), 169–183

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

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

1994
71.	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.
72.	Russian Acad. Sci. Dokl. Math., 48:3 (1994), 452–454

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

1994
74.	A. A. Karatsuba, “On the zeros of arithmetic Dirichlet series without Euler product”, Russian Acad. Sci. Izv. Math., 43:2 (1994), 193–203 (cited: 2) (cited: 2)

1993
75.	A. A. Karatsuba, “On the zeros of a class of functions generated by the Hurwitz function”, Russian Math. Surveys, 48:5 (1993), 175–176 (cited: 1) (cited: 2)

1992
76.	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
77.	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.
78.	Soviet Math. Dokl., 45:1 (1992), 46–47

1993
79.	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

1992
80.	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 (cited: 2) (cited: 1)
81.	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

1991
82.	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)

1992
83.	Soviet Math. Dokl., 44:1 (1992), 145–148

1991
84.	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
85.	Soviet Math. Dokl., 43:2 (1991), 589–590

1992
86.	A. A. Karatsuba, “On the zeros of a special type of function connected with Dirichlet series”, Math. USSR-Izv., 38:3 (1992), 471–502 (cited: 6) (cited: 4)

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

1991
88.	A. A. Karatsuba, “On the zeros of the Davenport–Heilbronn function lying on the critical line”, Math. USSR-Izv., 36:2 (1991), 311–324 (cited: 5) (cited: 9)

1990
89.	A. A. Karatsuba, “The distribution of prime numbers”, Russian Math. Surveys, 45:5 (1990), 99–171 (cited: 6) (cited: 3)
90.	A. A. Karatsuba, “Zeros of certain Dirichlet series”, Russian Math. Surveys, 45:1 (1990), 207–208 (cited: 1) (cited: 1)

1989
91.	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)
92.	A. A. Karatsuba, “On a Diophantine inequality”, Acta Arith., 53:3 (1989), 309–324 (cited: 3)

1988
93.	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 (cited: 2)
94.	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

1987
95.	A. A. Karatsuba, “Approximation of exponential sums by shorter ones”, Proc. Indian Acad. Sci. Math. Sci., 97:1-3 (1987), 167–178 (1988) (cited: 16) (cited: 17)
96.	G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, Teoriya kratnykh trigonometricheskikh summ, Nauka, M., 1987 , 368 pp.

1988
97.	Soviet Math. Dokl., 36:1 (1988), 75–77
98.	A. A. Karatsuba, “The distribution of pairs of quadratic residues and nonresidues of a special form”, Math. USSR-Izv., 31:2 (1988), 307–323 (cited: 3)

1987
99.	A. A. Karatsuba, “The Hilbert–Kamke problem in analytic number theory”, Math. Notes, 41:2 (1987), 155–161 (cited: 1)
100.	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

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

1986
102.	A. A. Karatsuba, “On the function $G(n)$ in Waring's problem”, Math. USSR-Izv., 27:2 (1986), 239–249 (cited: 2)

1985
103.	A. A. Karatsuba, “The Riemann zeta function and its zeros”, Russian Math. Surveys, 40:5 (1985), 23–82 (cited: 1) (cited: 4)
104.	A. A. Karatsuba, “On the real zeros of the function $\zeta(1/2+it)$”, Russian Math. Surveys, 40:4 (1985), 191–192 (cited: 1)

1986
105.	A. A. Karatsuba, “Zeros of the Riemann zeta function on the critical line”, Proc. Steklov Inst. Math., 167 (1986), 187–200
106.	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 (cited: 2)

1984
107.	A. A. Karatsuba, “Quadratic residues and nonresidues in sparse sequences”, Dokl. AN SSSR, 279:5 (1984), 1044–1046 (cited: 2)
108.	A. A. Karatsuba, “Zeros of the Riemann zeta function”, Dokl. AN SSSR, 276:3 (1984), 535–539 (cited: 2)
109.	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 (cited: 5)

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

1985
111.	A. A. Karatsuba, “Vinogradov's method of trigonometric sums”, Proc. Steklov Inst. Math., 163 (1985), 117–123
112.	A. A. Karatsuba, “The distribution of zeros of the function $\zeta(1/2+it)$”, Math. USSR-Izv., 25:3 (1985), 519–529 (cited: 5)

1983
113.	A. A. Karatsuba, “Teoriya chisel”, Ocherki razvitiya matematiki v SSSR. Teoreticheskaya matematika. Prikladnye voprosy matematiki, Naukova dumka, Kiev, 1983, 106–133 (Russian)
114.	A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, 2-e izd., Nauka, M., 1983 , 240 pp.
115.	G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “New uniform estimates for multiple trigonometric sums”, Dokl. AN SSSR, 272:1 (1983), 11–12 (cited: 1)
116.	A. A. Karatsuba, “Zeros of the Riemann zeta function in short intervals of the critical line”, Dokl. AN SSSR, 272:6 (1983), 1312–1314 (cited: 4)

1984
117.	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 (cited: 1)

1982
118.	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 (cited: 1)
119.	G. I. Arkhipov, A. A. Karatsuba, “A problem in the theory of congruences”, Russian Math. Surveys, 37:5 (1982), 157–158 (cited: 1)

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

1982
121.	G. I. Arkhipov, A. A. Karatsuba, “On local representation of zero by a form”, Math. USSR-Izv., 19:2 (1982), 231–240 (cited: 3)

1981
122.	A. A. Karatsuba, “Ivan Matveevich Vinogradov (on his ninetieth birthday)”, Russian Math. Surveys, 36:6 (1981), 1–17 (cited: 2)

1983
123.	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

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

1981
126.	G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Multiple trigonometric sums and their applications”, Math. USSR-Izv., 17:1 (1981), 1–54 (cited: 1)

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

1979
128.	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 (cited: 5)
129.	A. A. Karatsuba, Fundamentos de la teoría analítica de los números, Mir, M., 1979 , 245 pp. (Spanish)

1980
130.	G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Trigonometric integrals”, Math. USSR-Izv., 15:2 (1980), 211–239 (cited: 11) (cited: 11)

1979
131.	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 (cited: 2) (cited: 2) (cited: 3)

1978
132.	A. A. Karatsuba, “Asymptotics of an arithmetic sum”, Math. Notes, 24:6 (1978), 893–895 (cited: 1)
133.	A. A. Karatsuba, “Distribution of the values of Legendre symbols in polynomials with prime numbers”, Dokl. AN SSSR, 238:3 (1978), 524–526 (cited: 2)
134.	G. I. Arkhipov, A. A. Karatsuba, “I. M. Vinogradov's integral”, Dokl. AN SSSR, 239:4 (1978), 764–765

1979
135.	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 (cited: 1)

1978
136.	A. A. Karatsuba, “Sums of Legendre symbols of polynomials of second degree over prime numbers”, Math. USSR-Izv., 12:2 (1978), 299–308 (cited: 8)

1979
137.	G. I. Arkhipov, A. A. Karatsuba, “A new estimate of an integral of I. M. Vinogradov”, Math. USSR-Izv., 13:1 (1979), 52–62 (cited: 4)

1978
138.	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

1980
139.	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

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

1976
141.	A. A. Karatsuba, “A system of congruences”, Math. Notes, 19:3 (1976), 237–239 (cited: 1) (cited: 2)

1975
142.	A. A. Karatsuba, Osnovy analiticheskoi teorii chisel, Nauka, M., 1975 , 183 pp.
143.	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)
144.	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)
145.	A. A. Karatsuba, “Some problems of contemporary analytic number theorem”, Math. Notes, 17:2 (1975), 195–199 (cited: 3)
146.	A. A. Karatsuba, “Sums of characters in sequences of shifted prime numbers, with applications”, Math. Notes, 17:1 (1975), 91–93 (cited: 1) (cited: 4)

1973
147.	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
148.	A. A. Karatsuba, “The mean value of the modulus of a trigonometric sum”, Math. USSR-Izv., 7:6 (1973), 1199–1223 (cited: 1)
149.	A. A. Karatsuba, “Lower estimates of sums of polynomial characters”, Math. Notes, 14:1 (1973), 593–596 (cited: 1)

1972
150.	A. A. Karatsuba, “The problem of Dirichlet divisors in number fields”, Dokl. AN SSSR, 204 (1972), 540–541 (cited: 1)
151.	A. A. Karatsuba, “Uniform approximation of the remainder term in the Dirichlet divisor problem”, Math. USSR-Izv., 6:3 (1972), 467–475 (cited: 2)

1971
152.	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
153.	Soviet Math. Dokl., 12 (1971), 1172–1174
154.	A. A. Karatsuba, “Distribution of power residues and non-residues in additive squences.”, Dokl. AN SSSR, 196 (1971), 759–760 (cited: 5)
155.	A. A. Karatsuba, “Sums of characters with prime numbers in an arithmetic progression”, Math. USSR-Izv., 5:3 (1971), 485–501 (cited: 4)

1970
156.	A. A. Karatsuba, “The distribution of products of shifted prime numbers in arithmetic progressions”, Dokl. AN SSSR, 192 (1970), 724–727 (cited: 10)
157.	A. A. Karatsuba, “Sums of characters with prime numbers”, Dokl. AN SSSR, 190 (1970), 517–518 (cited: 5)
158.	A. A. Karatsuba, “Estimates of character sums”, Math. USSR-Izv., 4:1 (1970), 19–29 (cited: 6)
159.	A. A. Karatsuba, “Sums of characters over prime numbers”, Math. USSR-Izv., 4:2 (1970), 303–326 (cited: 11)

1969
160.	A. A. Karatsuba, “Trigonometric sums”, Dokl. AN SSSR, 189 (1969), 31–34 (cited: 2)

1968
161.	A. A. Karatsuba, “Ob odnoi asimptoticheskoi formule (k shestidesyatiletiyu A. O. Gelfonda)”, Tr. MMO, 18, Izd-vo Mosk. un-ta, M., 1968, 77–82
162.	A. A. Karatsuba, “Sums of characters, and primitive roots, in finite fields”, Dokl. AN SSSR, 180 (1968), 1287–1289 (cited: 13)
163.	A. A. Karatsuba, “About a system of indeterminate equations”, Math. Notes, 4:1 (1968), 565–567 (cited: 1)

1967
164.	A. A. Karatsuba, “Estimates of complete trigonometric sums”, Math. Notes, 1:2 (1967), 133–139 (cited: 4)
165.	A. A. Karatsuba, “The method of trigonometric sums and theorems of the mean”, Math. Notes, 1:1 (1967), 64–71

1966
166.	A. A. Karatsuba, “Asymptotic formulae for a certain class of trigonometric sums”, Dokl. AN SSSR, 169 (1966), 9–11 (cited: 2)
167.	A. A. Karatsuba, “Theorems on the mean and complete trigonometric sums”, Izv. Akad. Nauk SSSR Ser. Mat., 30:1 (1966), 183–206

1965
168.	A. A. Karatsuba, “On estimation of the number of solutions of certain equations”, Dokl. AN SSSR, 165 (1965), 31–32 (cited: 2)
169.	A. A. Karatsuba, “Congruence systems and equations of Waring type”, Dokl. AN SSSR, 165 (1965), 274–276 (cited: 5)
170.	A. A. Karatsuba, “On systems of congruences”, Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965), 935–944

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

1963
172.	A. A. Karatsuba, N. M. Korobov, “A mean-value theorem”, Dokl. AN SSSR, 149 (1963), 245–248 (cited: 3)

1962
173.	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
174.	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
175.	A. A. Karatsuba, “An analogue of Waring's problem”, Vestnik Moskov. Univ. Ser. I Mat. Meh., 1962:1 (1962), 38–46

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

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

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