Small eigenvalues of automorphic Laplacians in spaces of parabolic forms

DOI10.1007/BF01104976zbMath0609.10016MaRDI QIDQ1086603

Peter Zograf

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

small eigenvaluesFuchsian group of first kindspectrum of automorphic LaplacianYang-Yau inequality

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Modular and automorphic functions (11F03) Ergodic theorems, spectral theory, Markov operators (37A30) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items

Congruence subgroups and maximal Riemann surfaces

Cites Work

• Lectures on modular functions of one complex variable
• Über einen einfachen Typus von Untergruppen der Modulgruppe
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