On the Rankin-Selberg \(L\)-factors for \(\mathrm{SO}_5 \times \mathrm{GL}_2\)
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Publication:6588717
DOI10.1007/S11856-023-2580-YMaRDI QIDQ6588717
Publication date: 16 August 2024
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11S37) Representations of Lie and linear algebraic groups over global fields and adรจle rings (22E55)
Cites Work
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- Complementary results on the Rankin-Selberg gamma factors of classical groups
- The local Langlands conjecture for \(\text{GSp}(4)\)
- The L and \(\gamma\) factors for generic representations of GSp(4,k)\(\times GL(2,k)\) over a local nonarchimedean field k
- The Whittaker models of induced representations
- Explicit constructions of automorphic \(L\)-functions
- The local converse theorem for \(\operatorname {SO}(2n+1)\) and applications
- Local \(L\)-factors for \(\mathrm{GSp}(4,F)\) via Novodvorsky's zeta integrals
- A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
- The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields
- A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
- Higher Hida theory and \(p\)-adic \(L\)-functions for \(\mathrm{GSp}_4\)
- Algebraicity of critical values of adjoint \(L\)-functions for \(\mathrm{GSp}_4\)
- \(L\)-functions and theta correspondence for classical groups
- Local newforms for \(\text{GSp}(4)\)
- Local Langlands correspondence for \(\mathrm{GL}_n\) and the exterior and symmetric square \(\varepsilon\)-factors
- Automorphic forms on GL (2)
- Automorphic forms on \(\mathrm{GL}(2)\). Part II
- \(L\)-functions for the \(p\)-adic group \(GSp(4)\)
- The geometry and cohomology of some simple Shimura varieties. With an appendix by Vladimir G. Berkovich
- Theta correspondences for ๐บ๐๐(4)
- Rankin-Selberg Convolutions
- Rankin-Selberg convolutions for ๐๐_{2๐+1}ร๐บ๐ฟ_{๐}: local theory
- L and ฮต functions for GSp(4) ร GL(2)
- On the asymptotics of Whittaker functions
- ฮต factor of representations of classical groups
- On Certain L-Functions
- A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
- On irreducibility of standard modules for generic representations
- LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
- L-Functions for SOn x GLk.
- On the gcd of local RankinโSelberg integrals for even orthogonal groups
- Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$
- Theta dichotomy for unitary groups
- Degree 16 standard ๐ฟ-function of ๐บ๐๐(2)ร๐บ๐๐(2)
- Full multiplicativity of gamma factors for \(\operatorname {SO}_{2\ell+1}\times \operatorname {GL}_n\)
- On local zeta-integrals for \(\mathrm{GSp}(4)\) and \(\mathrm{GSp}(4) \times \mathrm{GL}(2)\)
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