Venkov, A. B. A remark on the discrete spectrum of the automorphic Laplacian for a generalized cycloidal subgroup of the general Fuchsian group. (Russian) Zbl 0645.10023 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 160, 31-36 (1987). The author refines the Weyl-Selberg asymptotic formula from the spectral theory of automorphic functions for a generalized cycloidal subgroup of a Fuchsian group of the first kind having noncompact fundamental domain. Reviewer: Oleg M. Fomenko (St. Peterburg) Cited in 1 Review MSC: 11F72 Spectral theory; trace formulas (e.g., that of Selberg) 30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) Keywords:discrete spectrum; automorphic Laplacian; Weyl-Selberg asymptotic formula; cycloidal subgroup; Fuchsian group PDFBibTeX XMLCite \textit{A. B. Venkov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 160, 31--36 (1987; Zbl 0645.10023) Full Text: EuDML