Full multiplicativity of gamma factors for \(\operatorname {SO}_{2\ell+1}\times \operatorname {GL}_n\)

DOI10.1007/BF02834849zbMath1005.11027MaRDI QIDQ5930681

David Soudry

Publication date: 25 February 2003

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

zbMATH Keywords

full multiplicativitygamma factorsRankin-Selberg integralsstandard \(L\)-functions

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (10)

The generalized doubling method: (𝑘,𝑐) models ⋮ On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups ⋮ Rankin-Selberg integrals for \(\operatorname{SO}_{2n+1}{\times}\operatorname{GL}_r\) attached to newforms and oldforms ⋮ Multiplicativity of the gamma factors of Rankin-Selberg integrals for \(\mathrm{SO} _{2l} \times\mathrm{GL}_n\) ⋮ The generalized doubling method: local theory ⋮ Complementary results on the Rankin-Selberg gamma factors of classical groups ⋮ On local descent for unitary groups ⋮ On the gcd of local Rankin–Selberg integrals for even orthogonal groups ⋮ The Langlands parameter of a simple supercuspidal representation: symplectic groups ⋮ Doubling constructions and tensor product \(L\)-functions: the linear case

Cites Work

• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Rankin-Selberg Convolutions
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
• On Certain L-Functions
• On the archimedean theory of Rankin-Selberg convolutions for ${\rm SO}_{2l+1}\times{\rm GL}_n$

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