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2004 Modular forms arising from zeta functions in two variables attached to prehomogeneous vector spaces related to quadratic forms
Takahiko Ueno
Nagoya Math. J. 175: 1-37 (2004).

Abstract

In this paper, we prove the functional equations for the zeta functions in two variables associated with prehomogeneous vector spaces acted on by maximal parabolic subgroups of orthogonal groups. Moreover, applying the converse theorem of Weil type, we show that elliptic modular forms of integral or half integral weight can be obtained from the zeta functions.

Citation

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Takahiko Ueno. "Modular forms arising from zeta functions in two variables attached to prehomogeneous vector spaces related to quadratic forms." Nagoya Math. J. 175 1 - 37, 2004.

Information

Published: 2004
First available in Project Euclid: 27 April 2005

zbMATH: 1075.11042
MathSciNet: MR2085308

Subjects:
Primary: 11F66
Secondary: 11M41, 11S90

Rights: Copyright © 2004 Editorial Board, Nagoya Mathematical Journal

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Vol.175 • 2004
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