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

DOI10.3792/PJAA.98.008arXiv2110.02847MaRDI QIDQ6379582

Kazunari Sugiyama

Publication date: 6 October 2021

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.

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Prehomogeneous vector spaces (11S90)

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