The archimedean theory of the exterior square $L$-functions over $\mathbb{Q}$

DOI10.1090/S0894-0347-2011-00719-4zbMath1292.11062arXiv1109.4190OpenAlexW2964019025MaRDI QIDQ2879890

Wilfried Schmid, Stephen D. Miller

Publication date: 5 April 2012

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4190

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (5)

Archimedean zeta integrals for the exterior square \(L\)-functions on \(\mathrm{GL}_{n}\) ⋮ On the rapid decay of cuspidal automorphic forms ⋮ Special values of motivic \(L\)-functions and zeta-polynomials for symmetric powers of elliptic curves ⋮ Smooth cuspidal automorphic forms and integrable discrete series ⋮ The Fourier coefficients of a metaplectic Eisenstein distribution on the double cover of SL(3) over \(\mathbb{Q} \)

Cites Work

• Pairings of automorphic distributions
• On the rapid decay of cuspidal automorphic forms
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• Langlands-Shahidi Method and Poles of Automorphic L-Functions: Application to Exterior Square L-Functions
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• On the fundamental automorphic L-functions of SO(2n + 1)
• Problems in the theory of automorphic forms to Salomon Bochner in gratitude
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