A zeta function connected with the eigenvalues of the Laplace-Beltrami operator on the fundamental domain of the modular group

DOI10.1017/S0027763000021218zbMath0554.10014OpenAlexW1559002359MaRDI QIDQ3216731

Akio Fujii

Publication date: 1984

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000021218

zbMATH Keywords

eigenvaluesentire functionzeta functionhyperbolic Laplacianmodular groupSelberg trace formula

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Hurwitz and Lerch zeta functions (11M35)

Related Items (1)

Eigenvalues of the Laplace-Beltrami operator and the von-Mangoldt function

Cites Work

• Remainder term in the Weyl-Selberg asymptotic formula
• Formules de Poisson avec reste
• SELBERG'S TRACE FORMULA FOR THE HECKE OPERATOR GENERATED BY AN INVOLUTION, AND THE EIGENVALUES OF THE LAPLACE-BELTRAMI OPERATOR ON THE FUNDAMENTAL DOMAIN OF THE MODULAR GROUP $ PSL(2,\mathbf{Z})$
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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