SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS

DOI10.1070/RM1979v034n03ABEH004000zbMath0437.10012OpenAlexW2065477750MaRDI QIDQ3877758

Alexei Venkov

Publication date: 1979

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1979v034n03abeh004000

zbMATH Keywords

Selberg trace formulacompact Riemann surfacecircle problemSelberg zeta-functionspectral theory of automorphic functionsFuchsian group of first kindVoronoi-Hardy formula

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Ideal boundary theory for Riemann surfaces (30F25) Modular and automorphic functions (11F03) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Lattice points in specified regions (11P21) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms in several complex variables (32N10)

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