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Venkov, A. B.

Spectral theory of automorphic functions, the Selberg zeta-function, and some problems of analytic number theory and mathematical physics. (English) Zbl 0437.10012

Russ. Math. Surv. 34, No. 3, 79-153 (1979).
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Cited in 2 Reviews
Cited in 26 Documents

MSC:

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

Keywords:

compact Riemann surface; Voronoi-Hardy formula; spectral theory of automorphic functions; Selberg trace formula; Selberg zeta-function; Fuchsian group of first kind; circle problem

Citations:

Zbl 0414.10025
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