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).
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 |