Alexei Venkov

  1. 2015
  2. Published

    Congruence properties of induced representations and their applications. / Mayer, D.; Momeni, A.; Venkov, A.

    In: St. Petersburg Mathematical Journal, Vol. 26, No. 4, 2015, p. 593-606.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  3. 2014
  4. Published

    Congruence properties of induced representations and their applications. / Mayer, Dieter; Momeni, Arash; Venkov, Alexei.

    In: Algebra i Analiz, Vol. 26, No. 4, 01.09.2014, p. 129-147.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  5. 2013
  6. Published

    Mayer's transfer operator approach to the Selberg's zeta function. / Momeni, Arash; Venkov, Alexei.

    In: St. Petersburg Mathematical Journal, Vol. 24, No. 4, 2013, p. 529-553.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  7. 2012
  8. Published

    Congruence properties of induced representations. / Mayer, Dieter; Momeni, Arash; Venkov, Alexei.

    arXiv.org, 2012. p. 1210.5979.

    Research output: Working paper

  9. 2011
  10. Published

    Zeta functions and regularized determinants related to the Selberg trace formula. / Momeni, Arash; Venkov, Alexei.

    arXiv.org, 2011. p. 1108.5659.

    Research output: Working paper

  11. 2010
  12. Published

    Mayer Transfer Operator Approach to Selberg Zeta Function. / Momeni, Arash; Venkov, Alexei.

    arXiv.org, 2010. p. arXiv:1008.4229v2.

    Research output: Working paper

  13. 2008
  14. Published
  15. Published

    Perturbation of embedded eigenvalues of Laplacians. / Balslev, Erik; Venkov, Alexei.

    Traces in number theory, geometry and quantum fields. ed. / Sergio Albeverio; Matilde Marcolli; Sylvie Paycha; Jorge Plazas. Wiesbaden : Vieweg, 2008. p. 23-34.

    Research output: Contribution to book/anthology/report/proceedingBook chapter

  16. 2006
  17. Published

    On the Relative Distribution of Eigenvalues of Exceptional Hecke Operators and Automorphic Laplacians. / Balslev, Erik; Venkov, Alexei.

    In: Saint Petersburg Mathematical Journal, Vol. 17, No. 1, 2006, p. 1-37.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  18. 2005
  19. Published

    On the Relative Distribution of Eigenvalues of Exceptional Hecke Operators and Automorphic Laplacians. / Venkov, Alexei; Balslev, Erik.

    In: Algebra and Analysis (Russia), Vol. 7, No. 1, 2005, p. 2-48.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  20. 2004
  21. Published

    Correction to "Spectral theory of Laplacians for Hecke groups with primitive character". / Balslev, E.; Venkov, A.

    In: Acta Mathematica, Vol. 192, No. 1, 2004, p. 1-3.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  22. 2003
  23. Published

    On the Relative Distribution of Eigenvalues of Exceptional Hecke Operators and Automorphic Laplacians. / Balslev, E.; Venkov, A.

    Århus : MaPhySto, University of Aarhus, 2003.

    Research output: Working paper

  24. 2001
  25. Published

    Curvature and Einstein equation for the Jacobi group manifold. / Balslev, Erik; Venkov, Alexei.

    Department of Mathematical Sciences, Aarhus University, 2001.

    Research output: Working paper

  26. Published

    Spectral theory of Laplacians for Hecke groups with primitive character. / Balslev, E.; Venkov, A.

    In: Acta Mathematica, Vol. 186, No. 2, 2001, p. 155-217.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  27. 2000
  28. Published

    Selberg's eigenvalue conjecture and the Siegel zeros for Hecke L-series. / Balslev, Erik; Venkov, Alexei.

    Analysis on homogeneous spaces and representation theory of Lie groups, Okayama-Kyoto (1997). Mathematical Society of Japan, 2000. p. 19-32.

    Research output: Contribution to book/anthology/report/proceedingArticle in proceedings

  29. 1999
  30. Published

    Stability of character resonances. / Balslev, Erik; Venkov, Alexei.

    Department of Mathematical Sciences, Aarhus University, 1999.

    Research output: Working paper

  31. 1998
  32. Published

    The Weyl law for subgroups of the modular group. / Balslev, Erik; Venkov, Alexei.

    In: Geometric and Functional Analysis, Vol. 8, No. 3, 1998, p. 437-465.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  33. 1997
  34. Published

    The Weyl law for subgroups of the modular group. / Balslev, Erik; Venkov, Alexei.

    Århus : Department of Mathematical Sciences, Aarhus University, 1997.

    Research output: Working paper

  35. 1995
  36. Published

    Approximation of Maass forms by analytic modular forms. / Venkov, Alexei.

    In: Saint Petersburg Mathematical Journal, Vol. 6, No. 6, 1995, p. 1167-1177.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  37. Published

    The Zagier formula with the Eisenstein-Maass series at odd integer points, and the generalized Selberg zeta function. / Venkov, Alexei.

    In: Saint Petersburg Mathematical Journal, Vol. 6, No. 3, 1995, p. 519-527.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  38. 1994
  39. Published

    The Selberg trace formula, Ramanujan graphs and some problems in mathematical physics. / Venkov, Alexei; Nikitin, A. M.

    In: Saint Petersburg Mathematical Journal, Vol. 5, No. 3, 1994, p. 419-484.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  40. 1993
  41. Published

    On a multidimensional variant of the Roelcke-Selberg conjecture. / Venkov, Alexei.

    In: Saint Petersburg Mathematical Journal, Vol. 4, No. 3, 1993, p. 527-538.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  42. 1992
  43. Published

    Some relations between the analysical modular forms and Maass waveforms for PSL (2, Z). / Venkov, Alexei.

    Mathematischen Instituts der Georg-August-Universität Göttingen, 1992.

    Research output: Working paper

  44. 1991
  45. Published

    Selberg's trace formula for an automorphic Schrodinger operator. / Venkov, Alexei.

    In: Functional Analysis and Its Applications, Vol. 25, No. 2, 1991, p. 102-111.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  46. 1990
  47. Published

    Automorphic and polymorphic functions for special monodromies associated with Fuchsian and Fibonacci groups. / Venkov, Alexei.

    Institut des Hautes Etudes Scientifiques, 1990.

    Research output: Working paper

  48. Published

    On the Selberg Trace Formula for the Automorphic Schroedinger Operator. / Venkov, Alexei.

    France : Institut des Hautes Etudes Scientifiques, 1990.

    Research output: Working paper

  49. Published

    Spectral theory of automorphic functions : and its applications. / Venkov, Alexei.

    Kluwer Academic Publishers, 1990. 176 p.

    Research output: Book/anthology/dissertation/reportBook

  50. Published

    A remark on the discrete spectrum of the automorphic laplacian for a generalized cycloidal subgroup of a general fuchsian group. / Venkov, Alexei.

    In: Journal of Soviet Mathematics, Vol. 52, No. 3, 1990, p. 3016-3021.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  51. Published

    On essentially cuspidal noncongruence subgroups of PSL(2,). / Venkov, Alexei.

    In: Journal of Functional Analysis, Vol. 92, No. 1, 1990, p. 1-7.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  52. 1989
  53. Published

    Examples of the effective solution of the Riemann-Hilbert problem on the reconstruction of a differential equation from a monodromy group in the framework of the theory of automorphic functions. / Venkov, Alexei.

    In: Journal of Soviet Mathematics, Vol. 46, No. 2, 1989, p. 1707-1733.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  54. 1985
  55. Published

    Accessory coefficients of the second-order Fuchs equation with real singular points. / Venkov, Alexei.

    In: Journal of Soviet Mathematics, Vol. 29, 1985, p. 1111-1120.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  56. Published

    Construction of the "Hauptfunktion", solution of Schwarz and Fuchs equations for a surface of genus zero by the method of the spectral theory of automorphic functions. / Venkov, Alexei.

    In: Journal of Soviet Mathematics, Vol. 31, 1985, p. 3289-3296.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  57. 1984
  58. Published

    Spectral theory of automorphic functions for Fuchsian groups of the first kind and its applications to some classical problems of the monodromy theory. / Venkov, Alexei.

    Proceedings of the International Congress of Mathematicians, August 16- 24, 1983, Warszawa. Vol. 2 PWN-Polish Scientific Publishers, 1984. p. 909-919.

    Research output: Contribution to book/anthology/report/proceedingArticle in proceedings

  59. Published

    Automorphic scattering matrix for the Hecke group Γ(2 cos(π/q)). / Venkov, Alexei.

    In: J. Sov. Math. , Vol. 24, 1984, p. 179-183.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  60. Published

    The automorphic scattering matrix for the Hecke group Γ(2cos(π/q)). / Venkov, Alexei.

    In: Matematicheskii Institut im. V.A. Steklova. Trudy, Vol. 163, 1984, p. 32-36.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  61. 1983
  62. Published

    Exact formulas for the accessory coefficients in the Schwarz equation. / Venkov, Alexei.

    In: Functional Analysis and Its Applications, Vol. 17, 1983, p. 165-171.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  63. Published

    On Dirichlet series associated with the defining equations and continued fractions in the theory of automorphic functions. / Venkov, Alexei.

    In: Proceedings of the Steklov Institute of Mathematics, Vol. 158, 1983, p. 33-46.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  64. Published

    On accessory coefficients in the Schwarz equation. / Venkov, Alexei.

    In: Soviet Mathematics. Doklady, Vol. 27, 1983, p. 695-698.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  65. Published

    On analogues of the Artin factorization formulas in the spectral theory of automorphic functions connected with induced representations of Fuchsian groups. / Venkov, Alexei; Zograf, P.G.

    In: Mathematics of the USSR. Izvestija, Vol. 21, 1983, p. 435-443.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  66. 1982
  67. Published

    Automorphic functions and Kummer's problem. / Venkov, Alexei; Proskurin, N.V.

    In: Russian Mathematical Surveys, Vol. 37, No. 3, 1982, p. 165-190.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  68. Published

    Spectral theory of automorphic functions. / Venkov, Alexei.

    In: Proceedings of the Steklov Institute of Mathematics, Vol. 153, 1982.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  69. 1981
  70. Published

    On analogues of the Artin factorization formulas in the spectral theory of automorphic functions connected with induced representations of Fuchsian groups. / Venkov, Alexei; Zograf, P.G.

    In: Soviet Mathematics. Doklady, Vol. 24, 1981, p. 94-96.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  71. Published

    Remainder term in the Weyl-Selberg asymptotic formula. / Venkov, Alexei.

    In: Journal of Soviet Mathematics, Vol. 17, No. 5, 1981, p. 2083-2097.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  72. 1980
  73. Published

    The spectral theory of automorphic functions. / Venkov, Alexei.

    Leningrad Dept. Steklov Math. Inst., 1980.

    Research output: Book/anthology/dissertation/reportDoctoral thesis

  74. Published

    Zeros of ζ- and L-functions of imaginary quadratic fields and the eigenvalues of the PSL(2,Ζ)-automorphic Laplacian. / Venkov, Alexei.

    In: Soviet Mathematics. Doklady, Vol. 21, 1980, p. 109-112.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  75. 1979
  76. Published

    A series of a discrete group and its application to the Dirichlet series associated with automorphic forms. / Venkov, Alexei.

    In: J. Sov. Math. , Vol. 12, 1979, p. 381-384.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  77. Published

    Spectral theory of automorphic functions, the Selberg zeta-function, and some problems of analytic number theory and mathematical physics. / Venkov, Alexei.

    In: Russian Mathematical Surveys, Vol. 34, No. 3, 1979, p. 79-153.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  78. Published

    The Artin-Takagi formula for Selberg's zeta-function and the Roelcke conjecture. / Venkov, Alexei.

    In: Soviet Mathematics. Doklady, Vol. 20, 1979, p. 745-748.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  79. Published

    The Selberg trace formula for SL(3,Z). / Venkov, Alexei.

    In: Journal of Soviet Mathematics, Vol. 12, 1979, p. 384-424.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  80. Published

    Weyl's formula in the spectral theory of automorphic functions. / Venkov, Alexei; Skriganov, M.M.

    In: Functional Analysis and Its Applications, Vol. 13, 1979, p. 54-55.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  81. 1978
  82. Published

    A formula for the Chebyshev psi function. / Venkov, Alexei.

    In: Russian Academy of Sciences. Mathematical Notes, Vol. 23, 1978, p. 271-274.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  83. Published

    On the space of cusp functions for a Fuchsian group of the first kind with nontrivial commensurator. / Venkov, Alexei.

    In: Soviet Mathematics. Doklady, Vol. 19, 1978, p. 343-347.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  84. Published

    Selberg's trace formula and non-euclidean vibrations of an infinite membrane. / Venkov, Alexei.

    In: Soviet Mathematics. Doklady, Vol. 19, 1978, p. 708-712.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  85. Published

    Selberg's trace formula for the Hecke operator generated by an involution, and the eigenvalues of the Laplace-Beltrami operator on the fundamental domain of the modular group PSL(2,Z). / Venkov, Alexei.

    In: Mathematics of the USSR. Izvestija, Vol. 12, 1978, p. 448-462.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  86. Published

    The asymptotic distribution of the norms of hyperbolic classes and spectral characteristics of cusp forms of weight zero for a Fuchsian group. / Venkov, Alexei; Vinogradov, A.I.

    In: Soviet Mathematics. Doklady, Vol. 19, 1978, p. 1545-1548.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  87. 1977
  88. Published

    A nonarithmetic derivation of the Selberg trace formula. / Venkov, Alexei; Kalinin, V.L.; Faddeev, L.D.

    In: Journal of Soviet Mathematics, Vol. 8, 1977, p. 171-199.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  89. Published

    On an asymptotic formula connected with the number of eigenvalues corresponding to odd eigenfunctions of the Laplace-Beltrami operator on a fundamental region of the modular group PSL(2,Z). / Venkov, Alexei.

    In: Soviet Mathematics. Doklady, Vol. 18, 1977, p. 524-526.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  90. Published

    On the space of cusp forms for certain Fuchsian groups generated by reflections. / Venkov, Alexei.

    In: Soviet Mathematics. Doklady, Vol. 18, 1977, p. 1214-1217.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  91. 1976
  92. Published

    On Selberg's trace formula for SL(3, Z). / Venkov, Alexei.

    In: Soviet Mathematics. Doklady, Vol. 17, 1976, p. 683-687.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  93. 1975
  94. Published

    Expansion in automorphic eigenfunctions of the Laplace-Beltrami operator in classical symmetric spaces of rank one, and the Selberg trace formula. / Venkov, Alexei.

    In: Proceedings of the Steklov Institute of Mathematics, Vol. 125, 1975, p. 1-48.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article

  95. 1973
  96. Published

    Expansion in automorphic eigenfunctions of the Laplace-Beltrami operator in classical symmetric spaces of rank one, and the Selberg trace formula. / Venkov, Alexei.

    Math. Faculty of Leningrad (St. Petersburg) State University, 1973.

    Research output: Book/anthology/dissertation/reportPh.D. thesis

  97. 1971
  98. Published

    Expansion in automorphic eigenfunctions of the Laplace operator and the Selberg trace formula in the space $SO_o(n,1)/SO(n).$. / Venkov, Alexei.

    In: Soviet Mathematics. Doklady, Vol. 12, 1971, p. 1363-1366.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal article