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Andrianov Anatoli Nikolaevich

Publications in Math-Net.Ru

  1. Interaction of Hecke–Shimura rings and zeta functions

    Zap. Nauchn. Sem. POMI, 449 (2016),  5–14
  2. Fractional factorials and prime numbers (A remark on the paper “On prime values of some quadratic polynomials”)

    Zap. Nauchn. Sem. POMI, 440 (2015),  5–7
  3. On prime values of some quadratic polynomials

    Zap. Nauchn. Sem. POMI, 429 (2014),  5–10
  4. Interaction of Hecke–Shimura rings acting on theta-series

    Zap. Nauchn. Sem. POMI, 418 (2013),  8–27
  5. On interaction of symplectic and orthogonal Hecke–Shimura rings of one-class quadratic forms

    Zap. Nauchn. Sem. POMI, 404 (2012),  5–17
  6. Zeta-functions of harmonic theta-series and prime numbers

    Algebra i Analiz, 23:2 (2011),  52–76
  7. Twisting of Siegel modular forms with characters, and $L$-functions

    Algebra i Analiz, 20:6 (2008),  1–29
  8. Action of Hecke operators on Maass theta series and zeta functions

    Algebra i Analiz, 19:5 (2007),  3–36
  9. Zeta functions of orthogonal groups of integral positive-definite quadratic forms

    Uspekhi Mat. Nauk, 61:6(372) (2006),  3–44
  10. On zeta functions of orthogonal groups of one-class positive definite quadratic forms

    Algebra i Analiz, 17:4 (2005),  3–41
  11. The action of Hecke operators on theta functions with rational characteristics

    Algebra i Analiz, 15:5 (2003),  109–137
  12. Around the Ikeda Lift

    Funktsional. Anal. i Prilozhen., 35:2 (2001),  70–74
  13. Singular Frobenius operators on Siegel modular forms with characters, and zeta functions

    Algebra i Analiz, 12:2 (2000),  64–99
  14. Singular Hecke–Shimura rings and Hecke operators on Siegel modular forms

    Algebra i Analiz, 11:6 (1999),  1–68
  15. Harmonic theta functions and Hecke operators

    Algebra i Analiz, 8:5 (1996),  1–31
  16. On an advise of Yu. V. Linnik, Hecke operators, and theta functions

    Zap. Nauchn. Sem. POMI, 226 (1996),  5–13
  17. Symmetries of harmonic theta-functions of integral quadratic forms

    Uspekhi Mat. Nauk, 50:4(304) (1995),  3–44
  18. Quadratic comparisons and rationality of local zeta series of ternary and quaternary quadratic forms

    Algebra i Analiz, 6:2 (1994),  3–52
  19. Automorphic factorizations of solutions of quadratic congruences and their applications

    Algebra i Analiz, 5:5 (1993),  1–46
  20. Multiplicative decompositions of integral representations of binary quadratic forms

    Algebra i Analiz, 5:1 (1993),  81–108
  21. Composition of solutions of quadratic Diophantine equations

    Uspekhi Mat. Nauk, 46:2(278) (1991),  3–40
  22. Multiplicative properties of solutions of quadratic Diophantine problems

    Algebra i Analiz, 2:1 (1990),  3–46
  23. On integration of modular forms with theta-series

    Zap. Nauchn. Sem. LOMI, 183 (1990),  5–21
  24. Dirichlet series that correspond to representations of zero by indefinite quadratic forms

    Algebra i Analiz, 1:3 (1989),  71–82
  25. Spherical theta series

    Mat. Sb. (N.S.), 134(176):3(11) (1987),  291–305
  26. Computation of coefficients in transformation formulas of inhomogeneous theta series under the action of Hecke operators

    Zap. Nauchn. Sem. LOMI, 160 (1987),  9–15
  27. The action of Hecke operators on nonhomogeneous theta series

    Mat. Sb. (N.S.), 131(173):3(11) (1986),  275–292
  28. Hecke operators and representations of binary quadratic forms

    Trudy Mat. Inst. Steklov., 165 (1984),  4–15
  29. Representation of even zeta function on the spaces of theta series

    Zap. Nauchn. Sem. LOMI, 134 (1984),  5–14
  30. Duality in Siegel's theorem on representation by a genus of quadratic forms, and the averaging operator

    Mat. Sb. (N.S.), 122(164):1(9) (1983),  3–11
  31. Degeneration of rings of Hecke operators on spaces of theta-series

    Trudy Mat. Inst. Steklov., 157 (1981),  3–18
  32. The multiplicative arithmetic or Siegel modular forms

    Uspekhi Mat. Nauk, 34:1(205) (1979),  67–135
  33. On the analytic properties of standard zeta functions of siegel modular forms

    Mat. Sb. (N.S.), 106(148):3(7) (1978),  323–339
  34. Euler expansions of theta-transforms of Siegel modular forms of degree $n$

    Mat. Sb. (N.S.), 105(147):3 (1978),  291–341
  35. Behavior of theta-series of genus $n$ of indeterminate quadratic forms under modular substitution

    Trudy Mat. Inst. Steklov., 148 (1978),  5–15
  36. On factorization of Hecke polynomials for the sympletic group of genus $n$

    Mat. Sb. (N.S.), 104(146):3(11) (1977),  390–427
  37. On relations between the Hecke rings of groups $\mathrm{Sp}_n$ and $\mathrm{SL}_n$

    Zap. Nauchn. Sem. LOMI, 71 (1977),  5–15
  38. On the zeta-functions of systems of quadratic forms

    Mat. Zametki, 20:1 (1976),  27–34
  39. Symmetric squares of zeta-functions of Siegel modular forms of genus 2

    Trudy Mat. Inst. Steklov., 142 (1976),  22–45
  40. Behavior of theta series of degree $n$ under modular substitutions

    Izv. Akad. Nauk SSSR Ser. Mat., 39:2 (1975),  243–258
  41. Euler products corresponding to Siegel modular froms of genus 2

    Uspekhi Mat. Nauk, 29:3(177) (1974),  43–110
  42. Distribution of the norms of the hyperbolic elements of the modular group and the class number of indefinite binary quadratic forms

    Dokl. Akad. Nauk SSSR, 196:4 (1971),  743–745
  43. Dirichlet series with Euler product in the theory of Siegel modular forms of genus two

    Trudy Mat. Inst. Steklov., 112 (1971),  73–94
  44. Spherical functions for $GL_n$ over local fields, and summation of Hecke series

    Mat. Sb. (N.S.), 83(125):3(11) (1970),  429–451
  45. Rationality theorems for Hecke series and zeta functions of the groups $GL_n$ and $Sp_n$ over local fields

    Izv. Akad. Nauk SSSR Ser. Mat., 33:3 (1969),  466–505
  46. Rationality of multiple Hecke series of the full linear group and Shimura's hypothesis on Hecke series of the Symplectic group

    Dokl. Akad. Nauk SSSR, 183:1 (1968),  9–11
  47. Continuability and a functional equation for zetafunctions with nonabelian characters of simple algebras over number fields

    Dokl. Akad. Nauk SSSR, 181:4 (1968),  775–777
  48. Zeta-functions of simple algebras with non-abelian characters

    Uspekhi Mat. Nauk, 23:4(142) (1968),  3–66
  49. Shimura's hypothesis for Siegel's modular group of genus 3

    Dokl. Akad. Nauk SSSR, 177:4 (1967),  755–758
  50. On the representations of the modular group on spaces of parabolic forms

    Dokl. Akad. Nauk SSSR, 165:4 (1965),  735–737
  51. The representation of numbers by certain quadratic forms in connection with the theory of elliptic curves

    Izv. Akad. Nauk SSSR Ser. Mat., 29:1 (1965),  227–238
  52. On square means of progressions of Fourier coefficients of parabolic forms

    Trudy Mat. Inst. Steklov., 80 (1965),  5–15
  53. Fourier coefficients of parabolic forms

    Dokl. Akad. Nauk SSSR, 158:2 (1964),  255–257
  54. The analytic arithmetic of quadratic forms in an odd number of variables in connection with the theory of modular forms

    Dokl. Akad. Nauk SSSR, 145:2 (1962),  241–244
  55. Generalization of Eichler's theorem in the theory of quaternary quadratic forms

    Dokl. Akad. Nauk SSSR, 141:1 (1961),  9–12

  56. Boris F. Skubenko. An essay on his life and scientific work

    Zap. Nauchn. Sem. POMI, 212 (1994),  5–9
  57. 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

© Steklov Math. Inst. of RAS, 2024