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Bykovskii Victor Alexeevich

Publications in Math-Net.Ru

  1. Multidimensional Fourier interpolation and complexity of the fast Fourier transform

    Chebyshevskii Sb., 25:4 (2024),  42–52
  2. Periodic ultradiscrete transformations of the space

    Dal'nevost. Mat. Zh., 23:1 (2023),  12–15
  3. Tropical sequences associated with Somos sequences

    Chebyshevskii Sb., 22:1 (2021),  118–132
  4. Periodic ultradiscrete plane transformations

    Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021),  23–25
  5. Polynomial Somos Sequences

    Funktsional. Anal. i Prilozhen., 55:1 (2021),  20–32
  6. Three-dimensional analogues of the Heath-Brown and Selberg identities

    Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020),  14–16
  7. Trace formula for integral points on the three-dimensional sphere

    Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020),  13–15
  8. Calculation of random pairs of primes whose product lies in a given short interval

    Dal'nevost. Mat. Zh., 20:2 (2020),  150–154
  9. Decomposition in terms of special functions

    Dal'nevost. Mat. Zh., 19:2 (2019),  138–172
  10. Extremal cubature formulas for anisotropic classes

    Dal'nevost. Mat. Zh., 19:1 (2019),  10–19
  11. On subsequences of even elements of Somos-6 sequenses

    Dal'nevost. Mat. Zh., 19:1 (2019),  3–5
  12. On the Laurent phenomenon for Somos-$4$ and Somos-$5$ sequences

    Funktsional. Anal. i Prilozhen., 53:3 (2019),  79–83
  13. On one property of the Maass and Shintani functionals

    Chebyshevskii Sb., 19:3 (2018),  40–45
  14. Integer sequences Somos-4

    Dokl. Akad. Nauk, 481:5 (2018),  471–473
  15. Integer Somos-4 sequence with rational coefficients

    Dal'nevost. Mat. Zh., 18:2 (2018),  147–149
  16. On the Laurent property of the Somos-4 sequences

    Dal'nevost. Mat. Zh., 18:1 (2018),  18–22
  17. Eichler – Shimura relations for theta functions

    Dal'nevost. Mat. Zh., 17:2 (2017),  152–157
  18. On the distribution of integer points on a hyperboloid

    Dal'nevost. Mat. Zh., 17:2 (2017),  147–151
  19. Asymptotic formulae for the second moments of $L$-series of holomorphic cusp forms on the critical line

    Izv. RAN. Ser. Mat., 81:2 (2017),  5–34
  20. The average length of finite continued fractions with fixed denominator

    Mat. Sb., 208:5 (2017),  63–102
  21. Hyperelliptic system of sequences and functions

    Dal'nevost. Mat. Zh., 16:2 (2016),  115–122
  22. The Eisenstein-Hecke series and their properties

    Dal'nevost. Mat. Zh., 16:1 (2016),  3–8
  23. Hyperquasipolynomials and their applications

    Funktsional. Anal. i Prilozhen., 50:3 (2016),  34–46
  24. Asymptotic formula for the convolution of a generalized divisor function

    Dokl. Akad. Nauk, 465:2 (2015),  137–140
  25. On the second moment of $L$-series of holomorphic cusp forms on the critical line

    Dokl. Akad. Nauk, 463:2 (2015),  133–136
  26. Some integral representations of hypergeometric function

    Dal'nevost. Mat. Zh., 15:1 (2015),  38–40
  27. On the distribution of integer points on the determinant surface

    Dal'nevost. Mat. Zh., 14:2 (2014),  156–159
  28. On the arithmetic nature of some identities of the elliptic functions theory

    Dal'nevost. Mat. Zh., 13:1 (2013),  15–34
  29. The discrepancy of the Korobov lattice points

    Izv. RAN. Ser. Mat., 76:3 (2012),  19–38
  30. The arithmetic nature of the triple and quintuple product identities

    Dal'nevost. Mat. Zh., 11:2 (2011),  140–148
  31. Optimality parameter of Korobov parallelepipedal grids for cubature formulas

    Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011),  1363–1369
  32. In the wake of the old past

    Dal'nevost. Mat. Zh., 10:1 (2010),  3–8
  33. Upper and Lower Bounds for the Voronoi–Minkowski constant

    Mat. Zametki, 87:4 (2010),  483–491
  34. Eichler – Shimura – Manin Theory

    Dal'nevost. Mat. Zh., 9:1-2 (2009),  29–37
  35. The statistics of particle trajectories in the inhomogeneous Sinai problem for a two-dimensional lattice

    Izv. RAN. Ser. Mat., 73:4 (2009),  17–36
  36. The Statistics of Particle Trajectories in the Homogeneous Sinai Problem for a Two-Dimensional Lattice

    Funktsional. Anal. i Prilozhen., 42:3 (2008),  10–22
  37. On the distribution of prime denominators of the approximants for almost all real numbers

    Izv. RAN. Ser. Mat., 72:2 (2008),  65–82
  38. Local Minima of Lattices and Vertices of Klein Polyhedra

    Funktsional. Anal. i Prilozhen., 40:1 (2006),  69–71
  39. Refinement of Vahlen's Theorem for Minkowski Bases of Three-Dimensional Lattices

    Mat. Zametki, 79:2 (2006),  163–168
  40. Estimate for dispersion of lengths of continued fractions

    Fundam. Prikl. Mat., 11:6 (2005),  15–26
  41. Generating Elements of the Annihilating Ideal for Modular Symbols

    Funktsional. Anal. i Prilozhen., 37:4 (2003),  27–38
  42. An analogue of Vahlen's theorem for simultaneous approximations of a pair of numbers

    Mat. Sb., 194:7 (2003),  3–14
  43. Minimal bases of three-dimensional complete lattices

    Mat. Sb., 192:2 (2001),  57–66
  44. Functional Equations for Hecke–Maass Series

    Funktsional. Anal. i Prilozhen., 34:2 (2000),  23–32
  45. Vahlen theorem for two-dimensional convergents

    Mat. Zametki, 66:1 (1999),  30–37
  46. A trace formula for convolution of Hecke series and its applications

    Zap. Nauchn. Sem. POMI, 226 (1996),  14–36
  47. Density theorems and the mean value of arithmetical functions in short intervals

    Zap. Nauchn. Sem. POMI, 212 (1994),  56–70
  48. Mean value of Hecke series of parabolic forms

    Trudy Mat. Inst. Steklov., 200 (1991),  57–74
  49. Discrete Fourier transform and cyclic convolution on integral lattices

    Dokl. Akad. Nauk SSSR, 302:1 (1988),  11–13
  50. The discrete Fourier transform and cyclic convolution on integral lattices

    Mat. Sb. (N.S.), 136(178):4(8) (1988),  451–467
  51. Nonhomogeneous convolutions

    Zap. Nauchn. Sem. LOMI, 160 (1987),  16–30
  52. Arithmetic-analytical properties of binary positive definite quadratic forms

    Zap. Nauchn. Sem. LOMI, 144 (1985),  5–20
  53. Spectral expansion of certain automorphic functions and its number-theoretical applications

    Zap. Nauchn. Sem. LOMI, 134 (1984),  15–33
  54. On a summation formula in the spectral theory of automorphic functions and its applications in analytic number theory

    Dokl. Akad. Nauk SSSR, 264:2 (1982),  275–277
  55. Asymptotic properties of integral points $(a_1,a_2)$, satisfying the congruence $a_1a_2\equiv l(q)$

    Zap. Nauchn. Sem. LOMI, 112 (1981),  5–25
  56. System of inequalities

    Zap. Nauchn. Sem. LOMI, 109 (1981),  3–33

  57. Andrey Mikhailovich Zubkov (30.12.1946 — 06.08.2025)

    Chebyshevskii Sb., 26:3 (2025),  419–421
  58. Sergey Vladimirovich Vostokov (13.04.1945 — 6.03.2025)

    Chebyshevskii Sb., 26:3 (2025),  416–418
  59. 75-th Anniversary of Professor Urusbi Mukhamedovich Pachev

    Chebyshevskii Sb., 26:1 (2025),  243–257
  60. Sergei Petrovich Novikov (20.03.1938 – 6.06.2024)

    Chebyshevskii Sb., 25:2 (2024),  364–365
  61. Alexander Ivanovich Galochkin (on the 80-th anniversary of his birth)

    Chebyshevskii Sb., 25:2 (2024),  20–28
  62. Yuri Valentinovich Nesterenko (to the 75th anniversary)

    Chebyshevskii Sb., 23:1 (2022),  10–20
  63. Vasily Ivanovich Bernik (to the 75th anniversary)

    Chebyshevskii Sb., 23:1 (2022),  6–9
  64. About scientific creativity of Askold Ivanovich Vinogradov

    Chebyshevskii Sb., 20:3 (2019),  22–26
  65. Nesterenko Yuri Valentinovich (70 anniversary of Yu. V. Nesterenko)

    Chebyshevskii Sb., 17:4 (2016),  211–2210
  66. Vasily Ivanovich Bernik (on his seventieth)

    Chebyshevskii Sb., 17:4 (2016),  203–210
  67. To 65-anniversary of the birth of Dmitry Alekseevich Mitkin (25.04.1951–09.04.2007)

    Chebyshevskii Sb., 17:2 (2016),  214–223
  68. V. I. Parusnikov. Obituary

    Chebyshevskii Sb., 17:1 (2016),  284–285
  69. Nikolai Mikhailovich Korobov (on his seventieth birthday)

    Uspekhi Mat. Nauk, 43:1(259) (1988),  221–222

© Steklov Math. Inst. of RAS, 2026