Notes on the arithmetic of Hecke \(L\)-functions

DOI10.1007/S12044-022-00708-0OpenAlexW4284977303MaRDI QIDQ2103322

A. Raghuram

Publication date: 13 December 2022

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.03399

zbMATH Keywords

critical valuealgebraic Hecke character\(\mathrm{GL}(1)\) \(L\)-function

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) 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) Representations of Lie and linear algebraic groups over local fields (22E50) 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)

Cites Work

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• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• Periods of Hecke characters
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• On the critical values of \(L\)-functions of \(GL(2)\) and \(GL(2)\times GL(2)\)
• Special Values of L-functions for GL(n) Over a CM Field
• Eisenstein Cohomology for GL_N and the Special Values of Rankin–Selberg L-Functions
• On the critical values of Hecke L-series

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