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

Published 8 Jul 2024 in math.NT | (2407.05583v2)

Abstract: 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.

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Authors (2)

  1. Seiji Kuga 
  2. Masao Tsuzuki 

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