The unramified computation of Rankin-Selberg integrals for \(\mathrm{SO}_{2l}\times\mathrm{GL}_ n\)

DOI10.1007/S11856-011-0203-5zbMath1273.11086OpenAlexW2439416477MaRDI QIDQ1760375

Eyal Kaplan

Publication date: 13 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0203-5

zbMATH Keywords

Rankin-Selberg integrals\(\mathrm{SO}(2l)\)local integral for unramified dataunramified Bessel function

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (9)

On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups ⋮ Multiplicativity of the gamma factors of Rankin-Selberg integrals for \(\mathrm{SO} _{2l} \times\mathrm{GL}_n\) ⋮ The unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. I ⋮ Local descent to quasi-split even general spin groups ⋮ The unramified computation of a Shimura integral for \(\mathrm{SL}(2)\times \mathrm{GL}(2)\) ⋮ The unramified computation of Rankin-Selberg integrals expressed in terms of Bessel models for split orthogonal groups. II ⋮ Complementary results on the Rankin-Selberg gamma factors of classical groups ⋮ On the gcd of local Rankin–Selberg integrals for even orthogonal groups ⋮ On \(L\)-functions for \(U_{2n+1} \times \text{Res}_{E/F} \text{GL}_m (m > n)\)

Cites Work

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