Characterisation of the poles of the $\ell$-modular Asai $L$-factor
DOI10.24033/bsmf.2814zbMath1473.22014arXiv1903.02427OpenAlexW3099135983MaRDI QIDQ3386549
Robert Kurinczuk, Nadir Matringe
Publication date: 5 January 2021
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.02427
distinguished representations of \(p\)-adic groupsAsai L-factormodular representations of \(p\)-adic groups
Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Cites Work
- \(\ell\)-modular representations of unramified \(p\)-adic \(U(2,1)\)
- Rankin-Selberg local factors modulo \(\ell \)
- \(l\)-modular representations of a \(p\)-adic reductive group with \(l\neq p\)
- Galois self-dual cuspidal types and Asai local factors
- Plancherel formula for \(\mathrm{GL}_n(F)\setminus \mathrm{GL}_n(E)\) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups
- Distinguished representations and exceptional poles of the Asai \(L\)-function
- Test vectors for finite periods and base change
- Supercuspidal representations of \(\mathrm{GL}_n(\mathrm{F})\) distinguished by a Galois involution
- Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\)
- Distinguished Generic Representations of GL(n) over p-adic Fields
- The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
- The Characters of the Finite General Linear Groups
- Subrepresentation Theorem for p-adic Symmetric Spaces
- The Irreducible Representations of the Finite General Linear Groups
- REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
- Integral Kirillov model
- Distinguished representations and poles of twisted tensor 𝐿-functions
- Asai L-functions and Jacquet's conjecture
- Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
- Représentations banales de
- Constant term of smooth $H_\psi $-spherical functions on a reductive $p$-adic group
- On distinguished representations.
- Endoscopic Classification of representations of Quasi-Split Unitary Groups
- Formal degrees and adjoint 𝛾-factors
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