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arXiv:2407.05583 [math.NT]AbstractReferencesReviewsResources

The Ranking-Selberg integral on ${\bf GSp(2)}$ for square free levels

Seiji Kuga, Masao Tsuzuki

Published 2024-07-08Version 1

We explicitly compute the Rankin-Selberg type integral introduced by Piatetski-Shapiro over adeles for vector-valued Siegel cusp forms of square-free levels $\Gamma_0(N)$. On the way, for particular test functions in the Bessel models of irreducible admissible representations, exact evaluations of the local zeta-integrals are given.

Comments: 45 pages
Categories: math.NT
Subjects: 11F46, 11F67
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