Derivatives and exceptional poles of the local exterior square \(L\)-function for \(\mathrm{GL}_m\)

DOI10.1007/s00209-019-02327-4zbMath1460.11074arXiv1804.04613OpenAlexW2962696412MaRDI QIDQ2304338

Yeongseong Jo

Publication date: 11 March 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04613

zbMATH Keywords

local Langlands correspondencelocal factorBernstein-Zelevinsky derivativeexterior square \(L\)-functionJacquet-Shalika integral

Mathematics Subject Classification ID

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 (9)

Exterior square gamma factors for cuspidal representations of \(\operatorname{GL}_n\): simple supercuspidal representations ⋮ Local exterior square and Asai \(L\)-functions for \(\operatorname{GL}(n)\) in odd characteristic ⋮ The local period integrals and essential vectors ⋮ Factorization of the local exterior square \(L\)-function of \(\mathrm{GL}_m\) ⋮ RANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2) ⋮ An explicit lifting construction of CAP forms on O(1,5) ⋮ Local distinction, quadratic base change and automorphic induction for \(\mathrm{GL}_n\) ⋮ Exterior square gamma factors for cuspidal representations of \(GL_n\): finite field analogs and level-zero representations ⋮ Rankin-Selberg \(L\)-functions via good sections

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