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Vinogradov, Askol'd Ivanovich
(1929–2005)

Statistics Math-Net.Ru
Total publications: 72
Scientific articles: 63

Number of views:
This page:2860
Abstract pages:12900
Full texts:5466
References:271
Doctor of physico-mathematical sciences

http://www.mathnet.ru/eng/person21757
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https://mathscinet.ams.org/mathscinet/MRAuthorID/203353

Publications in Math-Net.Ru
2006
1. A. I. Vinogradov, “A generalized square of the zeta function. The spectral decomposition. II”, Zap. Nauchn. Sem. POMI, 330 (2006),  77–92  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 140:5 (2007), 646–654  scopus
2005
2. A. I. Vinogradov, “A generalized square of the zeta function. The spectral decomposition”, Zap. Nauchn. Sem. POMI, 322 (2005),  17–44  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 137:2 (2006), 4617–4633  scopus
2004
3. A. I. Vinogradov, “The Linnik conjecture. The local approach”, Zap. Nauchn. Sem. POMI, 319 (2004),  71–80  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 134:6 (2006), 2483–2488
2003
4. A. I. Vinogradov, “H. Weyl asymptotics and Rankin convolutions”, Zap. Nauchn. Sem. POMI, 305 (2003),  44–59  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 130:3 (2005), 4665–4674
2002
5. A. I. Vinogradov, “The reflection operator and canonical bases”, Zap. Nauchn. Sem. POMI, 291 (2002),  109–130  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 125:2 (2005), 159–172
6. A. I. Vinogradov, “The points beneath a hyperbola and the circle problem. A spectral approach”, Zap. Nauchn. Sem. POMI, 289 (2002),  63–75  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 124:1 (2004), 4711–4718
2001
7. A. I. Vinogradov, “The Linnik conjecture. II”, Zap. Nauchn. Sem. POMI, 283 (2001),  37–49  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 121:3 (2004), 2311–2318
2000
8. A. I. Vinogradov, “The Selberg $Z$-function and the Lindelöf conjecture”, Zap. Nauchn. Sem. POMI, 269 (2000),  151–163  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:1 (2003), 1969–1976
1999
9. A. I. Vinogradov, “The Linnik conjecture. I”, Zap. Nauchn. Sem. POMI, 265 (1999),  64–76  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 112:3 (2002), 4277–4284
10. A. I. Vinogradov, “The Selberg $Z$-function. A local approach”, Zap. Nauchn. Sem. POMI, 260 (1999),  298–316  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:6 (2002), 2256–2271
1998
11. A. I. Vinogradov, “Binary problem. A spectral approach. III”, Zap. Nauchn. Sem. POMI, 251 (1998),  195–214  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 104:3 (2001), 1206–1217
12. A. I. Vinogradov, “Binary problem. A spectral approach. II”, Zap. Nauchn. Sem. POMI, 251 (1998),  178–194  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 104:3 (2001), 1195–1205
1997
13. A. I. Vinogradov, “The Petersson conjecture for the zeroth weight. I”, Zap. Nauchn. Sem. POMI, 249 (1997),  118–152  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:5 (2000), 3448–3471
14. A. I. Vinogradov, “Binary problems. A spectral approach”, Zap. Nauchn. Sem. POMI, 245 (1997),  130–148  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 100:2 (2000), 2092–2104
15. A. I. Vinogradov, “Comparison of the specrta. II”, Zap. Nauchn. Sem. POMI, 236 (1997),  50–67  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 95:2 (1999), 2074–2084
1996
16. A. I. Vinogradov, “Comparison of spectra”, Zap. Nauchn. Sem. POMI, 228 (1996),  67–76  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 93:3 (1999), 294–300
17. A. I. Vinogradov, “Arcs and series of Farey”, Zap. Nauchn. Sem. POMI, 226 (1996),  52–59  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:1 (1998), 945–950
18. A. I. Vinogradov, “Nonhomogeneous Rankin convolutions”, Zap. Nauchn. Sem. POMI, 226 (1996),  37–51  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:1 (1998), 933–944
1995
19. A. I. Vinogradov, “Convolutions. Comparison of spectral expansions at different vertices”, Zap. Nauchn. Sem. POMI, 227 (1995),  23–40  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:2 (1998), 1092–1104
20. A. I. Vinogradov, “Convolutions. Spectral decompositions over different vertices”, Zap. Nauchn. Sem. POMI, 224 (1995),  129–145  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 88:2 (1998), 190–201
1994
21. A. I. Vinogradov, “Spectral decomposition of convolutions”, Zap. Nauchn. Sem. POMI, 212 (1994),  71–90  mathnet  mathscinet  zmath; J. Math. Sci., 83:6 (1997), 731–744
22. A. I. Vinogradov, “A shortened equation for convolutions”, Zap. Nauchn. Sem. POMI, 211 (1994),  104–119  mathnet  mathscinet  zmath; J. Math. Sci., 83:5 (1997), 626–636
1993
23. A. I. Vinogradov, “Circular method and modular theory”, Zap. Nauchn. Sem. POMI, 205 (1993),  3–5  mathnet  mathscinet  zmath; J. Math. Sci., 80:3 (1996), 1745–1746
24. A. I. Vinogradov, “The Hardy–Littlewood conjecture. An algebraic approach”, Zap. Nauchn. Sem. POMI, 204 (1993),  5–10  mathnet  mathscinet  zmath; J. Math. Sci., 79:5 (1996), 1273–1276
1991
25. V. A. Bykovskii, A. I. Vinogradov, “Mean value of Hecke series of parabolic forms”, Trudy Mat. Inst. Steklov., 200 (1991),  57–74  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 200 (1993), 61–81
1990
26. A. I. Vinogradov, “The zeta-function of a convolution”, Zap. Nauchn. Sem. LOMI, 183 (1990),  22–48  mathnet  mathscinet  zmath; J. Soviet Math., 62:4 (1992), 2845–2864
1988
27. A. I. Vinogradov, “The $SL_n$-technique and density hypothesis”, Zap. Nauchn. Sem. LOMI, 168 (1988),  5–10  mathnet  zmath
1987
28. A. I. Vinogradov, “Analytic continuation of $\zeta_3(s,k)$ in the critical strip. Arithmetical part”, Zap. Nauchn. Sem. LOMI, 162 (1987),  43–76  mathnet  mathscinet  zmath
29. A. I. Vinogradov, “Poincare series in $SL(3,\mathbb{R})$”, Zap. Nauchn. Sem. LOMI, 160 (1987),  37–40  mathnet  zmath
30. V. A. Bykovskii, A. I. Vinogradov, “Nonhomogeneous convolutions”, Zap. Nauchn. Sem. LOMI, 160 (1987),  16–30  mathnet  zmath
1984
31. A. I. Vinogradov, L. A. Takhtadzhyan, “Zeta function of the additive divisor problem and the spectral expansion of the automorphic Laplacian”, Zap. Nauchn. Sem. LOMI, 134 (1984),  84–116  mathnet  mathscinet  zmath
1982
32. A. I. Vinogradov, L. A. Takhtadzhyan, “An estimate of the residue of Rankin $L$-series”, Dokl. Akad. Nauk SSSR, 267:1 (1982),  30–34  mathnet  mathscinet  zmath
1981
33. A. I. Vinogradov, L. A. Takhtadzhyan, “Analogues of the Vinogradov–Gauss formula in the critical strip”, Trudy Mat. Inst. Steklov., 158 (1981),  45–68  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 158 (1983), 47–71
34. A. I. Vinogradov, L. A. Takhtadzhyan, “Analogues of the Gauss–Vinogradov formula on the critical line”, Zap. Nauchn. Sem. LOMI, 109 (1981),  41–82  mathnet  mathscinet  zmath; J. Soviet Math., 24:2 (1984), 183–208
1980
35. A. I. Vinogradov, L. A. Takhtadzhyan, “On the Gauss–Hasse conjecture for real quadratic fields”, Dokl. Akad. Nauk SSSR, 255:6 (1980),  1306–1309  mathnet  mathscinet  zmath
36. L. A. Takhtadzhyan, A. I. Vinogradov, “On analogues of the Vinogradov-Gauss formula”, Dokl. Akad. Nauk SSSR, 254:6 (1980),  1298–1301  mathnet  mathscinet  zmath
37. A. I. Vinogradov, L. A. Takhtadzhyan, “On the Linnik–Skubenko asymptotics”, Dokl. Akad. Nauk SSSR, 253:4 (1980),  777–780  mathnet  mathscinet  zmath
1979
38. A. I. Vinogradov, M. M. Skriganov, “On the number of lattice points inside the sphere with transposing center”, Zap. Nauchn. Sem. LOMI, 91 (1979),  25–30  mathnet  mathscinet  zmath; J. Soviet Math., 17:5 (1981), 2098–2101
1978
39. A. B. Venkov, A. I. Vinogradov, “The asymptotic distribution of the norms of hyperbolic classes and spectral characteristics of cusp forms of weight zero for a Fuchsian group”, Dokl. Akad. Nauk SSSR, 243:6 (1978),  1373–1376  mathnet  mathscinet  zmath
40. A. I. Vinogradov, L. A. Takhtadzhyan, “Theory of Eisenstein series for the group $SL(3,\mathbf R)$ and its application to a binary problem. I. Fourier expansion of the highest Eisenstein series”, Zap. Nauchn. Sem. LOMI, 76 (1978),  5–52  mathnet  mathscinet  zmath; J. Soviet Math., 18:3 (1982), 293–324
1973
41. A. I. Vinogradov, “Artin's conjectures and the law of reciprocity”, Trudy Mat. Inst. Steklov., 132 (1973),  35–43  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 132 (1973), 35–44
1971
42. A. I. Vinogradov, “Artin's $L$-series and his conjectures”, Trudy Mat. Inst. Steklov., 112 (1971),  123–140  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 112 (1971), 124–142
43. A. I. Vinogradov, “Artin's $L$-series and the adele group”, Trudy Mat. Inst. Steklov., 112 (1971),  105–122  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 112 (1971), 105–123
1968
44. A. I. Vinogradov, V. G. Sprindzhuk, “On representation of numbers by binary forms”, Mat. Zametki, 3:4 (1968),  369–376  mathnet  mathscinet  zmath; Math. Notes, 3:4 (1968), 235–239
1967
45. A. I. Vinogradov, “On the cubic Gauss sum”, Izv. Akad. Nauk SSSR Ser. Mat., 31:1 (1967),  123–148  mathnet  mathscinet  zmath; Math. USSR-Izv., 1:1 (1967), 113–138
46. A. I. Vinogradov, “General Hardy–Littlewood equation”, Mat. Zametki, 1:2 (1967),  189–197  mathnet  mathscinet  zmath; Math. Notes, 1:2 (1967), 127–132
1966
47. A. I. Vinogradov, Yu. V. Linnik, “Hypoelliptic curves and the least prime quadratic residue”, Dokl. Akad. Nauk SSSR, 168:2 (1966),  259–261  mathnet  mathscinet  zmath
1965
48. A. I. Vinogradov, “The density hypothesis for Dirichet $L$-series”, Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965),  903–934  mathnet  mathscinet  zmath
49. A. I. Vinogradov, “On the continuability into the left half-plane of the scalar product of Hecke $L$-series with Grossencharaktere”, Izv. Akad. Nauk SSSR Ser. Mat., 29:2 (1965),  485–492  mathnet  mathscinet  zmath
1964
50. A. I. Vinogradov, “On the density hypothesis and the quasi-Riemann hypothesis”, Dokl. Akad. Nauk SSSR, 158:5 (1964),  1014–1017  mathnet  mathscinet  zmath
51. M. B. Barban, A. I. Vinogradov, “On the number-theoretic basis of probabilistic number theory”, Dokl. Akad. Nauk SSSR, 154:3 (1964),  495–496  mathnet  mathscinet  zmath
52. A. I. Vinogradov, “Estimates from below by the sieve process in algebraic number fields”, Dokl. Akad. Nauk SSSR, 154:1 (1964),  13–15  mathnet  mathscinet  zmath
53. A. I. Vinogradov, “The sieve method in algebraic fields. Lower bounds”, Mat. Sb. (N.S.), 64(106):1 (1964),  52–78  mathnet  mathscinet  zmath
1963
54. A. I. Vinogradov, “On the zeros of Siegel”, Dokl. Akad. Nauk SSSR, 151:3 (1963),  479–481  mathnet  mathscinet  zmath
55. A. I. Vinogradov, “On a problem of L. K. Hua”, Dokl. Akad. Nauk SSSR, 151:2 (1963),  255–257  mathnet  mathscinet  zmath
56. A. I. Vinogradov, “On the remainder in Merten's formula”, Dokl. Akad. Nauk SSSR, 148:2 (1963),  262–263  mathnet  mathscinet  zmath
57. A. I. Vinogradov, “On the number of classes of ideals and the group of divisor classes”, Izv. Akad. Nauk SSSR Ser. Mat., 27:3 (1963),  561–576  mathnet  mathscinet  zmath
1962
58. A. I. Vinogradov, “Generalization of Kloosterman’s formula”, Dokl. Akad. Nauk SSSR, 146:4 (1962),  754–756  mathnet  mathscinet  zmath
59. A. I. Vinogradov, “On the class number”, Dokl. Akad. Nauk SSSR, 146:2 (1962),  274–276  mathnet  mathscinet  zmath
60. A. I. Vinogradov, “On Merten's theorem”, Dokl. Akad. Nauk SSSR, 143:5 (1962),  1020–1021  mathnet  mathscinet  zmath
1957
61. A. I. Vinogradov, Yu. V. Linnik, “Estimate of the sum of the number of divisors in a short segment of an arithmetic progression”, Uspekhi Mat. Nauk, 12:4(76) (1957),  277–280  mathnet  mathscinet  zmath
62. A. I. Vinogradov, “Application of $\zeta(s)$ to the sieve of Eratosthenes”, Mat. Sb. (N.S.), 41(83):1 (1957),  49–80  mathnet  mathscinet  zmath
1956
63. A. I. Vinogradov, “On an “almost binary” problem”, Izv. Akad. Nauk SSSR Ser. Mat., 20:6 (1956),  713–750  mathnet  mathscinet  zmath

2005
64. A. I. Vinogradov, “A brief account of the scientific and pedagogical work of Yu. V. Linnik”, Zap. Nauchn. Sem. POMI, 322 (2005),  5–9  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 137:2 (2006), 4609–4611  scopus
1994
65. A. N. Andrianov, A. I. Vinogradov, E. P. Golubeva, G. V. Kuz'mina, A. P. Oskolkov, O. M. Fomenko, “Boris F. Skubenko. An essay on his life and scientific work”, Zap. Nauchn. Sem. POMI, 212 (1994),  5–9  mathnet  mathscinet  zmath; J. Math. Sci., 83:6 (1997), 689–693
1988
66. V. A. Bykovskii, A. I. Vinogradov, O. V. Lokutsievskii, N. I. Fel'dman, “Nikolai Mikhailovich Korobov (on his seventieth birthday)”, Uspekhi Mat. Nauk, 43:1(259) (1988),  221–222  mathnet  mathscinet; Russian Math. Surveys, 43:1 (1988), 265–267  isi
1971
67. A. N. Andrianov, A. I. Vinogradov, Yu. V. Linnik, A. V. Malyshev, D. K. Faddeev, N. G. Chudakov, V. A. Yakubovich, “On book of N. I. Gavrilov, The Riemann problem on the distribution of the roots of the zeta function”, Uspekhi Mat. Nauk, 26:3(159) (1971),  238–247  mathnet  mathscinet
1969
68. A. I. Vinogradov, “Letter to the Editor”, Izv. Akad. Nauk SSSR Ser. Mat., 33:2 (1969),  455  mathnet  mathscinet  zmath
69. A. I. Vinogradov, B. V. Levin, A. V. Malyshev, N. P. Romanov, N. G. Chudakov, “Mark Borisovich Barban (obituary)”, Uspekhi Mat. Nauk, 24:2(146) (1969),  213–216  mathnet  mathscinet  zmath; Russian Math. Surveys, 24:2 (1969), 179–183
1967
70. A. I. Vinogradov, “Review”, Mat. Zametki, 1:1 (1967),  119–126  mathnet; Math. Notes, 1:1 (1967), 77–81
1966
71. A. I. Vinogradov, “Correction to the paper of A. I. Vinogradov “On the density hypothesis for the Dirichlet $L$-series””, Izv. Akad. Nauk SSSR Ser. Mat., 30:3 (1966),  719–720  mathnet  mathscinet
1957
72. A. I. Vinogradov, “Application of $\zeta(s)$ to the sieve of Eratosthenes”, Mat. Sb. (N.S.), 41(83):3 (1957),  415–416  mathnet  mathscinet  zmath

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