Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Venkov, Aleksei Borisovich
Doctor of physico-mathematical sciences (1980)
E-mail:
Website: http://home.imf.au.dk/venkov/

https://www.mathnet.ru/eng/person22991
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/189054

Publications in Math-Net.Ru Citations
2014
1. D. Mayer, A. Momeni, A. Venkov, “Congruence properties of induced representations and their applications”, Algebra i Analiz, 26:4 (2014),  129–147  mathnet  mathscinet  elib; St. Petersburg Math. J., 26:4 (2015), 593–606  isi  elib  scopus 1
2012
2. A. Momeni, A. B. Venkov, “Mayer's transfer operator approach to Selberg's zeta function”, Algebra i Analiz, 24:4 (2012),  1–33  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 24:4 (2013), 529–553  isi  scopus 1
2005
3. E. Balslev, A. Venkov, “On the relative distribution of eigenvalues of exceptional Hecke operators and automorphic Laplacians”, Algebra i Analiz, 17:1 (2005),  5–52  mathnet  mathscinet  zmath; St. Petersburg Math. J., 17:1 (2006), 1–37 4
1994
4. A. B. Venkov, “Approximation of Maass forms by analytic modular forms”, Algebra i Analiz, 6:6 (1994),  51–64  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:6 (1995), 1167–1177 1
5. A. B. Venkov, “The Zagier formula with the Eisenstein–Maass series at odd integer points, and the generalized Selberg zeta function”, Algebra i Analiz, 6:3 (1994),  84–93  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:3 (1995), 519–527
1993
6. A. B. Venkov, A. M. Nikitin, “The Selberg trace formula, Ramanujan graphs and some problems in mathematical physics”, Algebra i Analiz, 5:3 (1993),  1–76  mathnet  mathscinet  zmath; St. Petersburg Math. J., 5:3 (1994), 419–484 11
1992
7. A. B. Venkov, “On a multidimensional variant of the Roelcke–Selberg conjecture”, Algebra i Analiz, 4:3 (1992),  145–158  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:3 (1993), 527–538 1
8. A. B. Venkov, “Some relations between the analytical modular forms and Maass waveforms for $PSL(2,\mathbb{Z})$”, Zap. Nauchn. Sem. POMI, 200 (1992),  51–61  mathnet  mathscinet  zmath; J. Math. Sci., 77:3 (1995), 3170–3177
1991
9. A. B. Venkov, “Selberg's trace formula for an automorphic Schrodinger operator”, Funktsional. Anal. i Prilozhen., 25:2 (1991),  26–37  mathnet  mathscinet  zmath; Funct. Anal. Appl., 25:2 (2006), 102–111 4
1987
10. A. B. Venkov, “Examples of effective solution of the Riemann-Hilbert problem on renewal of a differential equation with monodromy group in the framework of the theory of automorphic functions”, Zap. Nauchn. Sem. LOMI, 162 (1987),  5–42  mathnet  zmath 1
11. A. B. Venkov, “A remark on the discrete spectrum of the automorphic Laplacian for a generalized cycloidal subgroup of the general Fuchsian group”, Zap. Nauchn. Sem. LOMI, 160 (1987),  31–36  mathnet  zmath
1984
12. A. B. Venkov, “The automorphic scattering matrix for the Hecke group $\Gamma(2\cos\pi/q)$”, Trudy Mat. Inst. Steklov., 163 (1984),  32–36  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 163 (1985), 41–46 1
13. A. B. Venkov, “Construction of “Hauptfunktion”, solution of the equations of Schwarz and Puchs for a surface of zero genus by the methods of spectral theory of automorphic functions”, Zap. Nauchn. Sem. LOMI, 133 (1984),  51–62  mathnet  mathscinet  zmath
1983
14. A. B. Venkov, “On accessory coefficients in the Schwarz equation”, Dokl. Akad. Nauk SSSR, 270:5 (1983),  1042–1045  mathnet  mathscinet  zmath
15. A. B. Venkov, “Exact formulas for the accessory coefficients in the Schwarz equation”, Funktsional. Anal. i Prilozhen., 17:3 (1983),  1–8  mathnet  mathscinet  zmath; Funct. Anal. Appl., 17:3 (1983), 165–171  isi 1
16. A. B. Venkov, “On accessory coefficients of second order Fuchsian equation with real singular points”, Zap. Nauchn. Sem. LOMI, 129 (1983),  17–29  mathnet  mathscinet  zmath 2
1982
17. A. B. Venkov, P. G. Zograf, “On analogues of the Artin factorization formulas in the spectral theory of automorphic functions connected with induced representations of Fuchsian groups”, Izv. Akad. Nauk SSSR Ser. Mat., 46:6 (1982),  1150–1158  mathnet  mathscinet  zmath; Math. USSR-Izv., 21:3 (1983), 435–443 16
18. A. B. Venkov, N. V. Proskurin, “Automorphic functions and Kummer's problem”, Uspekhi Mat. Nauk, 37:3(225) (1982),  143–165  mathnet  mathscinet  zmath; Russian Math. Surveys, 37:3 (1982), 165–190
1981
19. A. B. Venkov, P. G. Zograf, “On analogues of the Artin factorization formulas in the spectral theory of automorphic functions connected with induced representations of Fuchsian groups”, Dokl. Akad. Nauk SSSR, 259:3 (1981),  523–526  mathnet  mathscinet  zmath 1
20. A. B. Venkov, “On Dirichlet series that are associated with the defining equations and continued fractions in the theory of automorphic functions”, Trudy Mat. Inst. Steklov., 158 (1981),  31–44  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 158 (1983), 33–46
21. A. B. Venkov, “Spectral theory of automorphic functions”, Trudy Mat. Inst. Steklov., 153 (1981),  3–171  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 153 (1982), 1–163 13
22. A. B. Venkov, “Automorphic scattering matrix for the Hecke group $\Gamma[2\cos(\pi/q)]$”, Zap. Nauchn. Sem. LOMI, 109 (1981),  34–40  mathnet  mathscinet  zmath; J. Soviet Math., 24:2 (1984), 179–183
1980
23. A. B. Venkov, “Zeros of $\zeta$- and $\mathrm{L}$-functions of imaginary quadratic fields and the eigenvalues of the $\mathrm{PSL}(2,\mathbf{Z})$-automorphic Laplacian”, Dokl. Akad. Nauk SSSR, 250:3 (1980),  528–531  mathnet  mathscinet  zmath
1979
24. A. B. Venkov, “The Artin–Takagi formula for Selberg's zeta-function and the Roelcke conjecture”, Dokl. Akad. Nauk SSSR, 247:3 (1979),  540–543  mathnet  mathscinet  zmath 1
25. A. B. Venkov, M. M. Skriganov, “Weyl's formula in the spectral theory of automorphic functions”, Funktsional. Anal. i Prilozhen., 13:1 (1979),  67–68  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:1 (1979), 54–55 14
26. A. B. Venkov, “Spectral theory of automorphic functions, the Selberg zeta-function, and some problems of analytic number theory and mathematical physics”, Uspekhi Mat. Nauk, 34:3(207) (1979),  69–135  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:3 (1979), 79–153 54
27. A. B. Venkov, “On the remainder term in the Weyl–Selberg asymptotic formula”, Zap. Nauchn. Sem. LOMI, 91 (1979),  5–24  mathnet  mathscinet  zmath; J. Soviet Math., 17:5 (1981), 2083–2097 8
1978
28. A. B. Venkov, A. I. Vinogradov, “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  mathnet  mathscinet  zmath
29. A. B. Venkov, “Selberg's trace formula and non-euclidean vibrations of an infinite membrane”, Dokl. Akad. Nauk SSSR, 240:5 (1978),  1021–1024  mathnet  mathscinet  zmath 2
30. A. B. Venkov, “On the space of cusp functions for a Fuchsian group of the first kind with nontrivial commensurator”, Dokl. Akad. Nauk SSSR, 239:3 (1978),  511–514  mathnet  mathscinet  zmath 1
31. A. B. Venkov, “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 $PSL(2,\mathbf Z)$”, Izv. Akad. Nauk SSSR Ser. Mat., 42:3 (1978),  484–499  mathnet  mathscinet  zmath; Math. USSR-Izv., 12:3 (1978), 448–462 15
32. A. B. Venkov, “A formula for the Chebyshev PSI function”, Mat. Zametki, 23:4 (1978),  497–503  mathnet  mathscinet  zmath; Math. Notes, 23:4 (1978), 271–274 5
1977
33. A. B. Venkov, “On the space of cusp forms for certain Fuchsian groups generated by reflections”, Dokl. Akad. Nauk SSSR, 236:3 (1977),  525–527  mathnet  mathscinet  zmath 1
34. A. B. Venkov, “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 $\mathrm{PSL}(2,\mathbf{Z})$”, Dokl. Akad. Nauk SSSR, 233:6 (1977),  1021–1023  mathnet  mathscinet  zmath 1
1976
35. A. B. Venkov, “On Selberg's trace formula for $SL(3,\mathrm{Z})$”, Dokl. Akad. Nauk SSSR, 228:2 (1976),  273–276  mathnet  mathscinet  zmath
36. A. B. Venkov, “The Selberg trace formula for $SL(3,\mathbf Z)$”, Zap. Nauchn. Sem. LOMI, 63 (1976),  8–66  mathnet  mathscinet  zmath; J. Soviet Math., 12:4 (1979), 384–424 7
37. A. B. Venkov, “A series of a discrete group and its application to the Dirichlet series associated with automorphic forms”, Zap. Nauchn. Sem. LOMI, 63 (1976),  3–7  mathnet  mathscinet  zmath; J. Soviet Math., 12:4 (1979), 381–384
1973
38. A. B. Venkov, “Expansion in automorphic eigenfunctions of the Laplace–Beltrami operator in classical symmetric spaces of rank one, and Selberg's trace formula”, Trudy Mat. Inst. Steklov., 125 (1973),  6–55  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 125 (1973), 1–48 5
39. A. B. Venkov, V. L. Kalinin, L. D. Faddeev, “A nonarithmetic derivation of the Selberg trace formula”, Zap. Nauchn. Sem. LOMI, 37 (1973),  5–42  mathnet  mathscinet  zmath; J. Soviet Math., 8 (1977), 171–199 10
1971
40. A. B. Venkov, “Expansion in automorphic eigenfunctions of the Laplace operator and the Selberg trace formula in the space $SO_0(n,1)/SO(n)$”, Dokl. Akad. Nauk SSSR, 200:2 (1971),  266–268  mathnet  mathscinet  zmath 1

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025