WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT -FUNCTIONS

DOI10.1017/S1474748014000462zbMath1423.11096arXiv1308.5090OpenAlexW3100656808MaRDI QIDQ2976259

Harald Grobner, Michael Harris

Publication date: 28 April 2017

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5090

zbMATH Keywords

\(L\)-functionDeligne's conjecturespecial valuesrationalityperiodscuspidal automorphic representation

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) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Cohomology of arithmetic groups (11F75)

Related Items (13)

Relations of rationality for special values of Rankin-Selberg \(L\)-functions of \(\mathrm{GL}_n \times \mathrm{GL}_m\) over CM-fields ⋮ On Deligne's conjecture for symmetric fifth \(L\)-functions of modular forms ⋮ \(p\)-adic and analytic properties of period integrals and values of \(L\)-functions ⋮ Unnamed Item ⋮ Rationality for isobaric automorphic representations: the CM-case ⋮ Calculus of archimedean Rankin–Selberg integrals with recurrence relations ⋮ Rationality results for the exterior and the symmetric square \(L\)-function (with an appendix by Nadir Matringe) ⋮ Rational structures on automorphic representations ⋮ An automorphic variant of a conjecture of Deligne ⋮ Period relations for cusp forms of \(\operatorname{GSp_4}\) ⋮ Shimura Varieties for Unitary Groups and the Doubling Method ⋮ A spectral reciprocity formula and non-vanishing for \(L\)-functions on \(\mathrm{GL}(4)\times\mathrm{GL}(2)\) ⋮ On Deligne's periods for tensor product motives

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