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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 22 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 PDF BibTeX XML Cite \textit{A. B. Venkov}, Russ. Math. Surv. 34, No. 3, 79--153 (1979; Zbl 0437.10012) Full Text: DOI OpenURL