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Vinogradov Askol'd Ivanovich

Publications in Math-Net.Ru

  1. A generalized square of the zeta function. The spectral decomposition. II

    Zap. Nauchn. Sem. POMI, 330 (2006),  77–92
  2. A generalized square of the zeta function. The spectral decomposition

    Zap. Nauchn. Sem. POMI, 322 (2005),  17–44
  3. The Linnik conjecture. The local approach

    Zap. Nauchn. Sem. POMI, 319 (2004),  71–80
  4. H. Weyl asymptotics and Rankin convolutions

    Zap. Nauchn. Sem. POMI, 305 (2003),  44–59
  5. The reflection operator and canonical bases

    Zap. Nauchn. Sem. POMI, 291 (2002),  109–130
  6. The points beneath a hyperbola and the circle problem. A spectral approach

    Zap. Nauchn. Sem. POMI, 289 (2002),  63–75
  7. The Linnik conjecture. II

    Zap. Nauchn. Sem. POMI, 283 (2001),  37–49
  8. The Selberg $Z$-function and the Lindelöf conjecture

    Zap. Nauchn. Sem. POMI, 269 (2000),  151–163
  9. The Linnik conjecture. I

    Zap. Nauchn. Sem. POMI, 265 (1999),  64–76
  10. The Selberg $Z$-function. A local approach

    Zap. Nauchn. Sem. POMI, 260 (1999),  298–316
  11. Binary problem. A spectral approach. III

    Zap. Nauchn. Sem. POMI, 251 (1998),  195–214
  12. Binary problem. A spectral approach. II

    Zap. Nauchn. Sem. POMI, 251 (1998),  178–194
  13. The Petersson conjecture for the zeroth weight. I

    Zap. Nauchn. Sem. POMI, 249 (1997),  118–152
  14. Binary problems. A spectral approach

    Zap. Nauchn. Sem. POMI, 245 (1997),  130–148
  15. Comparison of the specrta. II

    Zap. Nauchn. Sem. POMI, 236 (1997),  50–67
  16. Comparison of spectra

    Zap. Nauchn. Sem. POMI, 228 (1996),  67–76
  17. Arcs and series of Farey

    Zap. Nauchn. Sem. POMI, 226 (1996),  52–59
  18. Nonhomogeneous Rankin convolutions

    Zap. Nauchn. Sem. POMI, 226 (1996),  37–51
  19. Convolutions. Comparison of spectral expansions at different vertices

    Zap. Nauchn. Sem. POMI, 227 (1995),  23–40
  20. Convolutions. Spectral decompositions over different vertices

    Zap. Nauchn. Sem. POMI, 224 (1995),  129–145
  21. Spectral decomposition of convolutions

    Zap. Nauchn. Sem. POMI, 212 (1994),  71–90
  22. A shortened equation for convolutions

    Zap. Nauchn. Sem. POMI, 211 (1994),  104–119
  23. Circular method and modular theory

    Zap. Nauchn. Sem. POMI, 205 (1993),  3–5
  24. The Hardy–Littlewood conjecture. An algebraic approach

    Zap. Nauchn. Sem. POMI, 204 (1993),  5–10
  25. Mean value of Hecke series of parabolic forms

    Trudy Mat. Inst. Steklov., 200 (1991),  57–74
  26. The zeta-function of a convolution

    Zap. Nauchn. Sem. LOMI, 183 (1990),  22–48
  27. The $SL_n$-technique and density hypothesis

    Zap. Nauchn. Sem. LOMI, 168 (1988),  5–10
  28. Analytic continuation of $\zeta_3(s,k)$ in the critical strip. Arithmetical part

    Zap. Nauchn. Sem. LOMI, 162 (1987),  43–76
  29. Poincare series in $SL(3,\mathbb{R})$

    Zap. Nauchn. Sem. LOMI, 160 (1987),  37–40
  30. Nonhomogeneous convolutions

    Zap. Nauchn. Sem. LOMI, 160 (1987),  16–30
  31. Zeta function of the additive divisor problem and the spectral expansion of the automorphic Laplacian

    Zap. Nauchn. Sem. LOMI, 134 (1984),  84–116
  32. An estimate of the residue of Rankin $L$-series

    Dokl. Akad. Nauk SSSR, 267:1 (1982),  30–34
  33. Analogues of the Vinogradov–Gauss formula in the critical strip

    Trudy Mat. Inst. Steklov., 158 (1981),  45–68
  34. Analogues of the Gauss–Vinogradov formula on the critical line

    Zap. Nauchn. Sem. LOMI, 109 (1981),  41–82
  35. On the Gauss–Hasse conjecture for real quadratic fields

    Dokl. Akad. Nauk SSSR, 255:6 (1980),  1306–1309
  36. On analogues of the Vinogradov-Gauss formula

    Dokl. Akad. Nauk SSSR, 254:6 (1980),  1298–1301
  37. On the Linnik–Skubenko asymptotics

    Dokl. Akad. Nauk SSSR, 253:4 (1980),  777–780
  38. On the number of lattice points inside the sphere with transposing center

    Zap. Nauchn. Sem. LOMI, 91 (1979),  25–30
  39. 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
  40. 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
  41. Artin's conjectures and the law of reciprocity

    Trudy Mat. Inst. Steklov., 132 (1973),  35–43
  42. Artin's $L$-series and his conjectures

    Trudy Mat. Inst. Steklov., 112 (1971),  123–140
  43. Artin's $L$-series and the adele group

    Trudy Mat. Inst. Steklov., 112 (1971),  105–122
  44. On representation of numbers by binary forms

    Mat. Zametki, 3:4 (1968),  369–376
  45. On the cubic Gauss sum

    Izv. Akad. Nauk SSSR Ser. Mat., 31:1 (1967),  123–148
  46. General Hardy–Littlewood equation

    Mat. Zametki, 1:2 (1967),  189–197
  47. Hypoelliptic curves and the least prime quadratic residue

    Dokl. Akad. Nauk SSSR, 168:2 (1966),  259–261
  48. The density hypothesis for Dirichet $L$-series

    Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965),  903–934
  49. 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
  50. On the density hypothesis and the quasi-Riemann hypothesis

    Dokl. Akad. Nauk SSSR, 158:5 (1964),  1014–1017
  51. On the number-theoretic basis of probabilistic number theory

    Dokl. Akad. Nauk SSSR, 154:3 (1964),  495–496
  52. Estimates from below by the sieve process in algebraic number fields

    Dokl. Akad. Nauk SSSR, 154:1 (1964),  13–15
  53. The sieve method in algebraic fields. Lower bounds

    Mat. Sb. (N.S.), 64(106):1 (1964),  52–78
  54. On the zeros of Siegel

    Dokl. Akad. Nauk SSSR, 151:3 (1963),  479–481
  55. On a problem of L. K. Hua

    Dokl. Akad. Nauk SSSR, 151:2 (1963),  255–257
  56. On the remainder in Merten's formula

    Dokl. Akad. Nauk SSSR, 148:2 (1963),  262–263
  57. On the number of classes of ideals and the group of divisor classes

    Izv. Akad. Nauk SSSR Ser. Mat., 27:3 (1963),  561–576
  58. Generalization of Kloosterman’s formula

    Dokl. Akad. Nauk SSSR, 146:4 (1962),  754–756
  59. On the class number

    Dokl. Akad. Nauk SSSR, 146:2 (1962),  274–276
  60. On Merten's theorem

    Dokl. Akad. Nauk SSSR, 143:5 (1962),  1020–1021
  61. 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
  62. Application of $\zeta(s)$ to the sieve of Eratosthenes

    Mat. Sb. (N.S.), 41(83):1 (1957),  49–80
  63. On an “almost binary” problem

    Izv. Akad. Nauk SSSR Ser. Mat., 20:6 (1956),  713–750

  64. A brief account of the scientific and pedagogical work of Yu. V. Linnik

    Zap. Nauchn. Sem. POMI, 322 (2005),  5–9
  65. Boris F. Skubenko. An essay on his life and scientific work

    Zap. Nauchn. Sem. POMI, 212 (1994),  5–9
  66. Nikolai Mikhailovich Korobov (on his seventieth birthday)

    Uspekhi Mat. Nauk, 43:1(259) (1988),  221–222
  67. 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
  68. Letter to the Editor

    Izv. Akad. Nauk SSSR Ser. Mat., 33:2 (1969),  455
  69. Mark Borisovich Barban (obituary)

    Uspekhi Mat. Nauk, 24:2(146) (1969),  213–216
  70. Review

    Mat. Zametki, 1:1 (1967),  119–126
  71. 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
  72. Application of $\zeta(s)$ to the sieve of Eratosthenes

    Mat. Sb. (N.S.), 41(83):3 (1957),  415–416

© Steklov Math. Inst. of RAS, 2025