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Golubeva Elena Petrovna

Publications in Math-Net.Ru

  1. Alternating sums of elements of continued fractions and the Minkowski question mark function

    Zap. Nauchn. Sem. POMI, 458 (2017),  13–16
  2. Salem's problem for the inverse Minkowski $?(t)$ function

    Zap. Nauchn. Sem. POMI, 429 (2014),  11–19
  3. Random variables associated with the Farey tree

    Zap. Nauchn. Sem. POMI, 404 (2012),  61–74
  4. On the negative Pell equation

    Zap. Nauchn. Sem. POMI, 383 (2010),  53–62
  5. On a plane convex curve with a large number of lattice points

    Zap. Nauchn. Sem. POMI, 357 (2008),  22–32
  6. A bound for the representability of large numbers by ternary quadratic forms and nonhomogeneous Waring equations

    Zap. Nauchn. Sem. POMI, 357 (2008),  5–21
  7. On the moments of elements of continued fractions for some rational numbers

    Zap. Nauchn. Sem. POMI, 337 (2006),  13–22
  8. The distribution of the eigenvalues of Hecke operators

    Zap. Nauchn. Sem. POMI, 314 (2004),  33–40
  9. The distribution of the values of Hecke $L$-functions at 1

    Zap. Nauchn. Sem. POMI, 314 (2004),  15–32
  10. On the class numbers of indefinite binary quadratic forms with discriminant $dp^2$

    Zap. Nauchn. Sem. POMI, 286 (2002),  40–47
  11. On the Pellian equation

    Zap. Nauchn. Sem. POMI, 286 (2002),  36–39
  12. On spectrum Lévy constants for quadratic irrationalities and class numbers of real quadratic fields

    Zap. Nauchn. Sem. POMI, 276 (2001),  20–40
  13. Waring's problem for six cubes and higher powers

    Zap. Nauchn. Sem. POMI, 263 (2000),  34–39
  14. Spectrum of Levy constants for quadratic irrationalities

    Zap. Nauchn. Sem. POMI, 263 (2000),  20–33
  15. On the theorem on cycles of Skubenko

    Zap. Nauchn. Sem. POMI, 263 (2000),  7–19
  16. On exceptional integers for binary quadratic forms

    Zap. Nauchn. Sem. POMI, 254 (1998),  56–64
  17. Geodesics on the upper half-plane and distribution of quadratic irrationalities

    Zap. Nauchn. Sem. POMI, 254 (1998),  28–55
  18. Distribution of norms of prime hyperbolic classes

    Zap. Nauchn. Sem. POMI, 237 (1997),  40–45
  19. On quadratic irrationalities having continued fractions with small periods

    Zap. Nauchn. Sem. POMI, 237 (1997),  31–39
  20. Estimates of the Levy constant for $\sqrt p$ and class number one criterion for $\mathbb Q(\sqrt p)$

    Zap. Nauchn. Sem. POMI, 237 (1997),  21–30
  21. On nonhomogeneous Waring equations

    Zap. Nauchn. Sem. POMI, 226 (1996),  65–68
  22. On the representation of large integers by binary quadratic forms

    Zap. Nauchn. Sem. POMI, 226 (1996),  60–64
  23. Behavior of the $L$-functions of cusp forms at $s=1$

    Zap. Nauchn. Sem. POMI, 204 (1993),  37–54
  24. The class numbers of real quadratic fields of discriminant $4p$

    Zap. Nauchn. Sem. POMI, 204 (1993),  11–36
  25. On Ju. V. Linnik hypothesis connected with distribution of the integral points on the three-dimensional sphere

    Zap. Nauchn. Sem. LOMI, 196 (1991),  31–34
  26. Quadratic irrationals with the fixed length of the period of the expansion in the continued fraction

    Zap. Nauchn. Sem. LOMI, 196 (1991),  5–30
  27. A remark on asymptotic distribution of the integral points on the large three-dimensional sphere

    Zap. Nauchn. Sem. LOMI, 185 (1990),  22–28
  28. On indefinite binary quadratic forms with large class numbers

    Zap. Nauchn. Sem. LOMI, 185 (1990),  13–21
  29. On distribution of the integral $2\times2$ matrices

    Zap. Nauchn. Sem. LOMI, 183 (1990),  49–55
  30. On the period length of the continued fraction expansion of quadratic irrationalities and class numbers of real quadratic fields. II

    Zap. Nauchn. Sem. LOMI, 168 (1988),  11–22
  31. On the period length of the continued fraction expansion of a quadratic irrational and the class number of real quadratic fields

    Zap. Nauchn. Sem. LOMI, 160 (1987),  72–81
  32. Asymptotic distribution of integral points on the three-dimensional sphere

    Zap. Nauchn. Sem. LOMI, 160 (1987),  54–71
  33. Representation of large numbers by ternary quadratic forms

    Mat. Sb. (N.S.), 129(171):1 (1986),  40–54
  34. On the representation of numbers divisible by a large square by positive ternary quadratic forms

    Zap. Nauchn. Sem. LOMI, 154 (1986),  14–30
  35. Application of spherical functions to a problem of the theory of quadratic forms

    Zap. Nauchn. Sem. LOMI, 144 (1985),  38–45
  36. Waring's problem for a ternary quadratic form and an arbitrary even power

    Zap. Nauchn. Sem. LOMI, 144 (1985),  27–37
  37. Application of the Shimura lift to the problem of representation of large numbers by ternary quadratic forms

    Zap. Nauchn. Sem. LOMI, 144 (1985),  21–26
  38. The asymptotic distribution of lattice points belonging to given residue classes on hyperboloids of special form

    Mat. Sb. (N.S.), 123(165):4 (1984),  510–533
  39. On the length of the period of a quadratic irrationality

    Mat. Sb. (N.S.), 123(165):1 (1984),  120–129
  40. Значения рядов Дирихле, ассоциированных с модулярными формами, в точках $s=\frac12,1$

    Zap. Nauchn. Sem. LOMI, 134 (1984),  117–137
  41. Distribution of the integral points on the surfaces of the second order and some surfaces of the third order

    Zap. Nauchn. Sem. LOMI, 129 (1983),  39–42
  42. On representation of large integers by special positive definite ternary quadratic forms

    Zap. Nauchn. Sem. LOMI, 125 (1983),  36–46
  43. A connection of the sum of Salié sums with the distribution of integral points on hyperboloids

    Zap. Nauchn. Sem. LOMI, 116 (1982),  56–62
  44. Distribution of lattice points of two-sheeted hyperboloids

    Trudy Mat. Inst. Steklov., 158 (1981),  69–79
  45. Theta-series associated with indefinite ternary quadratic forms and the related Dirichlet series

    Zap. Nauchn. Sem. LOMI, 112 (1981),  41–50
  46. Asymptotic distribution of integer-valued binary forms of a fixed discriminant

    Zap. Nauchn. Sem. LOMI, 112 (1981),  26–40
  47. On the structure of Hecke algebra $L(G,U_0)$, where $G=GL_2(\mathbb Q_p)$ and $U_0$, is a principal congruence subgroup

    Zap. Nauchn. Sem. LOMI, 100 (1980),  5–16
  48. On the distribution of the sequence $\{bp^{3/2}\}\mod1$

    Zap. Nauchn. Sem. LOMI, 91 (1979),  31–39
  49. A simplified variant of the method of computation of the Fourier coefficients of a series

    Zap. Nauchn. Sem. LOMI, 76 (1978),  60–64
  50. Asymptotic behavior of the number of representations of large integers by certain positive-definite ternary quadratic forms

    Zap. Nauchn. Sem. LOMI, 76 (1978),  53–59
  51. On an Eisenatein series of genus 2

    Zap. Nauchn. Sem. LOMI, 71 (1977),  85–95
  52. Zeta function of a system of forms

    Zap. Nauchn. Sem. LOMI, 67 (1977),  156–162
  53. Series $\sum F(m)q^m$, where $F(m)$ is the number of odd classes of binary quadratic forms of determinant $-m$

    Zap. Nauchn. Sem. LOMI, 64 (1976),  69–79
  54. Asymptotic number of points on certain ellipsoids

    Mat. Zametki, 11:6 (1972),  625–634
  55. The representaion of large numbers by ternary quadratic forms

    Dokl. Akad. Nauk SSSR, 191:3 (1970),  519–521

  56. Boris Fadeevich Skubenko. His first work

    Zap. Nauchn. Sem. POMI, 263 (2000),  5–6
  57. Boris F. Skubenko. An essay on his life and scientific work

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


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