Persons: Venkov Aleksei Borisovich

Venkov Aleksei Borisovich

Publications in Math-Net.Ru

Congruence properties of induced representations and their applications

Algebra i Analiz, 26:4 (2014), 129–147
Mayer's transfer operator approach to Selberg's zeta function

Algebra i Analiz, 24:4 (2012), 1–33
On the relative distribution of eigenvalues of exceptional Hecke operators and automorphic Laplacians

Algebra i Analiz, 17:1 (2005), 5–52
Approximation of Maass forms by analytic modular forms

Algebra i Analiz, 6:6 (1994), 51–64
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
The Selberg trace formula, Ramanujan graphs and some problems in mathematical physics

Algebra i Analiz, 5:3 (1993), 1–76
On a multidimensional variant of the Roelcke–Selberg conjecture

Algebra i Analiz, 4:3 (1992), 145–158
Some relations between the analytical modular forms and Maass waveforms for $PSL(2,\mathbb{Z})$

Zap. Nauchn. Sem. POMI, 200 (1992), 51–61
Selberg's trace formula for an automorphic Schrodinger operator

Funktsional. Anal. i Prilozhen., 25:2 (1991), 26–37
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
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
The automorphic scattering matrix for the Hecke group $\Gamma(2\cos\pi/q)$

Trudy Mat. Inst. Steklov., 163 (1984), 32–36
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
On accessory coefficients in the Schwarz equation

Dokl. Akad. Nauk SSSR, 270:5 (1983), 1042–1045
Exact formulas for the accessory coefficients in the Schwarz equation

Funktsional. Anal. i Prilozhen., 17:3 (1983), 1–8
On accessory coefficients of second order Fuchsian equation with real singular points

Zap. Nauchn. Sem. LOMI, 129 (1983), 17–29
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
Automorphic functions and Kummer's problem

Uspekhi Mat. Nauk, 37:3(225) (1982), 143–165
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
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
Spectral theory of automorphic functions

Trudy Mat. Inst. Steklov., 153 (1981), 3–171
Automorphic scattering matrix for the Hecke group $\Gamma[2\cos(\pi/q)]$

Zap. Nauchn. Sem. LOMI, 109 (1981), 34–40
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
The Artin–Takagi formula for Selberg's zeta-function and the Roelcke conjecture

Dokl. Akad. Nauk SSSR, 247:3 (1979), 540–543
Weyl's formula in the spectral theory of automorphic functions

Funktsional. Anal. i Prilozhen., 13:1 (1979), 67–68
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
On the remainder term in the Weyl–Selberg asymptotic formula

Zap. Nauchn. Sem. LOMI, 91 (1979), 5–24
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
Selberg's trace formula and non-euclidean vibrations of an infinite membrane

Dokl. Akad. Nauk SSSR, 240:5 (1978), 1021–1024
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
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
A formula for the Chebyshev PSI function

Mat. Zametki, 23:4 (1978), 497–503
On the space of cusp forms for certain Fuchsian groups generated by reflections

Dokl. Akad. Nauk SSSR, 236:3 (1977), 525–527
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
On Selberg's trace formula for $SL(3,\mathrm{Z})$

Dokl. Akad. Nauk SSSR, 228:2 (1976), 273–276
The Selberg trace formula for $SL(3,\mathbf Z)$

Zap. Nauchn. Sem. LOMI, 63 (1976), 8–66
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
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
A nonarithmetic derivation of the Selberg trace formula

Zap. Nauchn. Sem. LOMI, 37 (1973), 5–42
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