Open Access
November 2012 Selberg type zeta function for the Hilbert modular group of a real quadratic field
Yasuro Gon
Proc. Japan Acad. Ser. A Math. Sci. 88(9): 145-148 (November 2012). DOI: 10.3792/pjaa.88.145

Abstract

In this article we announce fundamental results of Selberg type zeta functions for the Hilbert modular group of a real quadratic field; the meromorphic extension over $\mathbf{C}$, its functional equation and some arithmetic applications.

Citation

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Yasuro Gon. "Selberg type zeta function for the Hilbert modular group of a real quadratic field." Proc. Japan Acad. Ser. A Math. Sci. 88 (9) 145 - 148, November 2012. https://doi.org/10.3792/pjaa.88.145

Information

Published: November 2012
First available in Project Euclid: 6 November 2012

zbMATH: 1305.11077
MathSciNet: MR3000892
Digital Object Identifier: 10.3792/pjaa.88.145

Subjects:
Primary: 11F72 , 11M36

Keywords: Hilbert modular group , Selberg zeta function

Rights: Copyright © 2012 The Japan Academy

Vol.88 • No. 9 • November 2012
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