The Ranking-Selberg integral on ${\bf GSp(2)}$ for square free levels
Number Theory
2026-04-29 v2
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 . On the way, for particular test functions in the Bessel models of irreducible admissible representations, exact evaluations of the local zeta-integrals are given.
Cite
@article{arxiv.2407.05583,
title = {The Ranking-Selberg integral on ${\bf GSp(2)}$ for square free levels},
author = {Seiji Kuga and Masao Tsuzuki},
journal= {arXiv preprint arXiv:2407.05583},
year = {2026}
}
Comments
46 pages