LOCAL NEWFORMS AND FORMAL EXTERIOR SQUARE L-FUNCTIONS

DOI10.1142/S179304211350070XzbMath1335.11037arXiv1203.6841OpenAlexW1989686124MaRDI QIDQ2870227

Takuya Yamauchi, Michitaka Miyauchi

Publication date: 17 January 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6841

zbMATH Keywords

zeta integralRankin-Selberg methodlocal newformexterior square \(L\)-function

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (4)

The local period integrals and essential vectors ⋮ Test vectors for Archimedean period integrals ⋮ Linear and Shalika local periods for the mirabolic group, and some consequences ⋮ Derivatives and exceptional poles of the local exterior square \(L\)-function for \(\mathrm{GL}_m\)

Cites Work

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• Conducteur des représentations du groupe linéaire
• Characterization of the local Langlands conjecture by \(\varepsilon\)-factors for pairs
• On the local and global exterior square \(L\)-functions of \(\mathrm{GL}_n\)
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• The local exterior square \(L\)-function: holomorphy, non-vanishing and Shalika functionals
• Zeta functions of simple algebras
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields
• Une caractérisation de la correspondance de Langlands locale pour ${\rm GL}(n)$

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