Distinguished representations and exceptional poles of the Asai \(L\)-function
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Publication:2268172
DOI10.1007/s00229-009-0327-7zbMath1218.11051arXiv0807.2748OpenAlexW2083208797MaRDI QIDQ2268172
Publication date: 10 March 2010
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.2748
(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items (17)
Gross-Prasad periods for reducible representations ⋮ Gamma factors of intertwining periods and distinction for inner forms of \(\operatorname{GL}(n)\) ⋮ The distinction problems for \(\operatorname{Sp}_4\) and \(\operatorname{SO}_{3,3}\) ⋮ On the theta correspondence for (𝐺𝑆𝑝(4),𝐺𝑆𝑂(4,2)) and Shalika periods ⋮ Test vectors for local periods ⋮ The characterization of theta-distinguished representations of \(\mathrm{GL}(n)\) ⋮ The local period integrals and essential vectors ⋮ Factorization of the local exterior square \(L\)-function of \(\mathrm{GL}_m\) ⋮ Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ \(p\)-adic Asai \(L\)-functions of Bianchi modular forms ⋮ Explicit calculation of local integrals for twisted triple product \(L\)-functions ⋮ Gamma factors for the asai representation of \(\mathrm{GL}_2\) ⋮ Galois self-dual cuspidal types and Asai local factors ⋮ Characterisation of the poles of the $\ell$-modular Asai $L$-factor ⋮ Derivatives and exceptional poles of the local exterior square \(L\)-function for \(\mathrm{GL}_m\) ⋮ Rankin-Selberg \(L\)-functions via good sections ⋮ Periods of residual automorphic forms
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