Local Langlands correspondence for \(\mathrm{GL}_n\) and the exterior and symmetric square \(\varepsilon\)-factors

DOI10.1215/00127094-2017-0001zbMath1430.11070arXiv1412.1448OpenAlexW3106324666MaRDI QIDQ2403208

T.-L. Tsai, Freydoon Shahidi, James W. Cogdell

Publication date: 15 September 2017

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1448

zbMATH Keywords

local Langlands correspondenceexterior and symmetric square epsilon factorsstability of exterior square gamma factors

Mathematics Subject Classification ID

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) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (15)

Rankin-Selberg integrals for \(\operatorname{SO}_{2n+1}{\times}\operatorname{GL}_r\) attached to newforms and oldforms ⋮ On the resolution of reductive monoids and multiplicativity of \(\gamma \)-factors ⋮ Local Langlands correspondence for classical groups and affine Hecke algebras ⋮ RANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2) ⋮ Linear intertwining periods and epsilon dichotomy for linear models ⋮ Local Langlands correspondence for the twisted exterior and symmetric square \(\epsilon \)-factors of \(\mathrm{GL}_n\) ⋮ Exterior square gamma factors for cuspidal representations of \(GL_n\): finite field analogs and level-zero representations ⋮ Epsilon factors of representations of finite general linear groups ⋮ Asai cube \(L\)-functions and the local Langlands correspondence ⋮ A local converse theorem for 𝑈₂ᵣ₊₁ ⋮ A local converse theorem for \(\mathrm{Sp}_{2r}\) ⋮ Bessel functions for \(\mathrm{GL}_2\) ⋮ On twisted exterior and symmetric square \(\gamma\)-factors ⋮ Stability of Asai local factors for GL(2) ⋮ Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur packet conjecture

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