Elstrodt, J. Die Selbergsche Spurformel für kompakte Riemannsche Flächen. (The Selberg trace formula for compact Riemann surfaces). (German) Zbl 0453.10021 Jahresber. Dtsch. Math.-Ver. 83, 45-77 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 4 Documents MSC: 11F72 Spectral theory; trace formulas (e.g., that of Selberg) 11F70 Representation-theoretic methods; automorphic representations over local and global fields 11M36 Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) 30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) 11-02 Research exposition (monographs, survey articles) pertaining to number theory Keywords:Bibliography; Selberg trace formula; survey; hyperbolic plane; Selberg zeta function; asymptotic distribution of eigenvalues of Laplacian; lattice-point problem in hyperbolic space; bibliography × Cite Format Result Cite Review PDF