Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions

Kazunari Sugiyama

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arXiv · 2110.02847

Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions

Kazunari Sugiyama

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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.

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Kazunari Sugiyama. 2021-10-06. Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions. https://arxiv.org/abs/2110.02847

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