Elstrodt, J.; Grunewald, F.; Mennicke, J. Discontinuous groups on three-dimensional hyperbolic space: analytical theory and arithmetic applications. (English. Russian original) Zbl 0527.10018 Russ. Math. Surv. 38, No. 1, 137-168 (1983); translation from Usp. Mat. Nauk 38, No. 1(229), 119-147 (1983). Correction in Usp. Mat. Nauk 38, No. 6(234), 177-178 (Russian) (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 6 Documents MSC: 11F03 Modular and automorphic functions 11F70 Representation-theoretic methods; automorphic representations over local and global fields 30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) 11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) 11M35 Hurwitz and Lerch zeta functions 11P21 Lattice points in specified regions 53C22 Geodesics in global differential geometry 35P99 Spectral theory and eigenvalue problems for partial differential equations 22E40 Discrete subgroups of Lie groups 11E57 Classical groups 37A30 Ergodic theorems, spectral theory, Markov operators Keywords:Selberg trace formula; Selberg zeta-function; prime geodesic theorem; Siegel theory of quadratic forms; progress report; discrete subgroups of PSL(2,C); spectral theory; hyperbolic Laplacian; cocompact groups; hyperbolic lattice-point problem; conjugacy classes in orthogonal groups; structure of unit groups Citations:Zbl 0441.22008; Zbl 0477.22008; Zbl 0194.232; Zbl 0203.549 PDFBibTeX XMLCite \textit{J. Elstrodt} et al., Russ. Math. Surv. 38, No. 1, 137--168 (1983; Zbl 0527.10018); translation from Usp. Mat. Nauk 38, No. 1(229), 119--147 (1983). Correction in Usp. Mat. Nauk 38, No. 6(234), 177--178 (Russian) (1983) Full Text: DOI