The Rankin–Selberg integral on GSp2 for square-free levels

Pacific Journal of Mathematics 2026 Open access

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Authors: Seiji Kuga, Masao Tsuzuki
DOI: 10.2140/pjm.2026.342.299
Cited by: 0
References: 37

Abstract

We explicitly compute the Rankin-Selberg type integral introduced by Piatetski-Shapiro over adeles for vector-valued Siegel cusp forms of squarefree levels 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.

Fields of Study & Subjects

advanced mathematical theories Functional Equations Stability Results Analytic Number Theory Research

Publication details

Journal / source
Pacific Journal of Mathematics
Volume
342
Issue
2
Pages
299–350
Publication date
23 April 2026
Language
EN