We explicitly compute the Rankin-Selberg type integral introduced by Piatetski-Shapiro over adeles for vector-valued Siegel cusp forms of square-free levels Γ₀(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.
No takes yet. Share an insight, caveat, or question.
Kuga et al. (2024) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: