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Functional Equations of Generalized Epstein Zeta Functions in Several Complex Variables

Published online by Cambridge University Press:  22 January 2016

Audrey A. Terras
Audrey A. Terras*
Affiliation:
University of Illinois
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Let S(n) be the matrix of a positive definite quadratic form and

Define

1.

Here the sum is over unimodular matrices which lie in a complete set of representatives for the equivalence relation with P unimodular and having block form

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 44 , December 1971 , pp. 89 - 95
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

Blbliography

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[3] Maass, H., “Some Remarks on Selberg’s Zeta Functions”, Proc. Internatl. Conf. on Several Complex Variables, U. of Maryland, College Park, Md., 1970.Google Scholar
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[6] Selberg, A., “Discontinuous Groups and Harmonic Analysis”, Proc. Internati. Cong, of Math., Stockholm, 1962, 177–189 Google Scholar
[7] Terras, A., “A Generalization of Epstein’s Zeta Function”, Nagoya Math., J. 42 (1971),Google Scholar