Bessel models for GSp(4)

DOI10.1515/CRELLE.2011.045zbMath1228.11070arXiv0712.2092MaRDI QIDQ5198587

Dipendra Prasad, Ramin Takloo-Bighash

Publication date: 8 August 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2092

zbMATH Keywords

theta correspondencevalues of \(L\)-seriesepsilon factors in the local caselocal and global Bessel models

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) 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 (37)

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Cites Work

• \(l\)-adic representations associated to modular forms over imaginary quadratic fields. I: Lifting to \(GSp_ 4(\mathbb{Q})\)
• Shalika periods on \(\mathrm{GL}_2(D)\) and \(\mathrm{GL}_4\)
• Integral representation for \(L\)-functions for \(\text{GSp}_4\times \text{GL}_2\)
• Arithmetic automorphic forms for the nonholomorphic discrete series of \(GSp(2)\)
• Some remarks on representations of a division algebra and of the Galois group of a local field
• Uniqueness of generalized Waldspurger model for \(GL(2n)\)
• Relating invariant linear form and local epsilon factors via global methods. (With an appendix by Hiroshi Saito)
• Local ε-Factors and Characters of GL(2)
• Langlands' Functoriality and the Weil Representation
• On Shalika periods and a theorem of Jacquet-Martin
• On the Decomposition of a Representation of SO_n When Restricted to SO_n-1
• The nonarchimedean theta correspondence for $\mathrm {GSp}(2)$ and $\mathrm {GO}(4)$
• On Irreducible Representations of So_2n+1 × So_2m
• Spinor L-functions, theta correspondence, and Bessel coefficients
• Holomorphic continuation of generalized Jacquet integrals for degenerate principal series

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