The Ranking-Selberg integral on ${\bf GSp(2)}$ for square free levels
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 t...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2407.05583 |