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A remark on the discrete spectrum of the automorphic Laplacian for a generalized cycloidal subgroup of the general Fuchsian group. (Russian) Zbl 0645.10023

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.

MSC:

11F72 Spectral theory; trace formulas (e.g., that of Selberg)
30F35 Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization)
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