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

Published online by Cambridge University Press:  22 January 2016

Akio Fujii
Akio Fujii*
Affiliation:
Department of Mathematics, Rikkyo Univ, Tokyo, Japan
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Let ; … run over the eigenvalues of the discrete spectrum of the Laplace-Beltrami operator on L2(H/yΓ), where H is the upper half of the complex plane and we take Γ = PSL(2, Z). It is well known that Let a be a positive number. Here we are concerned with the zeta function defined by

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 96 , December 1984 , pp. 167 - 174
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

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