Arithmeticity for periods of automorphic forms

zbMath1304.11035arXiv1207.4641MaRDI QIDQ5494366

Gan, Wee Teck, A. Raghuram

Publication date: 27 July 2014

Full work available at URL: https://arxiv.org/abs/1207.4641

zbMATH Keywords

\(L\)-functionperiodarithmeticitycohomological cuspidal automorphic representation

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) 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) Cohomology of arithmetic groups (11F75)

Related Items (8)

An arithmetic property of intertwining operators for p-adic groups ⋮ On critical values of \(L\)-functions of potentially automorphic motives ⋮ On Shalika models and \(p\)-adic \(L\)-functions ⋮ Endoscopic congruences modulo adjoint \(L\)-values for \(\mathrm{GSp}(4)\) ⋮ L-functions of GL_2n: p-adic properties and non-vanishing of twists ⋮ Special values of \(L\)-functions for orthogonal groups ⋮ The \(\mathrm{PGSp}_{1,1}(\mathbb{A})\)-distinguished representations ⋮ Periods of residual automorphic forms

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