Open Access
July 2022 Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions
Kazunari Sugiyama
Proc. Japan Acad. Ser. A Math. Sci. 98(7): 41-46 (July 2022). DOI: 10.3792/pjaa.98.008

Abstract

A Shintani-Katok-Sarnak type correspondence for Maass cusp forms of level $N$ is shown to be derived from analytic properties of prehomogeneous zeta functions whose coefficients involve periods of Maass forms.

Citation

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Kazunari Sugiyama. "Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions." Proc. Japan Acad. Ser. A Math. Sci. 98 (7) 41 - 46, July 2022. https://doi.org/10.3792/pjaa.98.008

Information

Published: July 2022
First available in Project Euclid: 14 July 2022

MathSciNet: MR4453589
zbMATH: 1509.11036
Digital Object Identifier: 10.3792/pjaa.98.008

Subjects:
Primary: 11S90
Secondary: 11F37

Keywords: Maass forms , prehomogeneous zeta functions , Shintani correspondence

Rights: Copyright © 2022 The Japan Academy

Vol.98 • No. 7 • July 2022
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