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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| creator | Kuga, Seiji Tsuzuki, Masao |
| description | 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_str_mv | 10.48550/arxiv.2407.05583 |
| format | Article |
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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
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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
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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.</abstract><doi>10.48550/arxiv.2407.05583</doi><oa>free_for_read</oa></addata></record> |
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| title | The Ranking-Selberg integral on ${\bf GSp(2)}$ for square free levels |
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