An upper bound for λ1 for Γ(q) and Γ0(q)

DOI10.1017/S0013091500018162zbMath0685.10016OpenAlexW2205702445MaRDI QIDQ4735234

C. J. Mozzochi

Publication date: 1990

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500018162

zbMATH Keywords

Laplace operatorcongruence subgroupmodular groupSelberg trace formuladiscrete spectrumfirst eigenvalueSelberg conjecture

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (1)

Generalized eigenfunctions and eigenvalues: A unifying framework for Shnol-type theorems

Cites Work

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• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Small eigenvalues of the Laplace operator on compact Riemann surfaces
• Class numbers of indefinite binary quadratic forms

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