COHOMOLOGY OF ARITHMETIC GROUPS, PARABOLIC SUBGROUPS AND THE SPECIAL VALUES OF $L$-FUNCTIONS ON GL$_{n}$

DOI10.1017/S1474748005000186zbMath1086.14019OpenAlexW2080877889MaRDI QIDQ5715527

Joachim Mahnkopf

Publication date: 3 January 2006

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

Full work available at URL: https://doi.org/10.1017/s1474748005000186

zbMATH Keywords

Eisenstein seriescohomology of arithmetic groupsautomorphic representations and \(L\)-functions

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) Cohomology of arithmetic groups (11F75)

Related Items (16)

\(p\)-adic \(L\)-functions for Rankin-Selberg convolutions over number fields ⋮ Rationality for isobaric automorphic representations: the CM-case ⋮ On the nonvanishing hypothesis for Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}(ℂ)×𝔾𝕃_{𝕟}(ℂ) ⋮ Archimedean non-vanishing, cohomological test vectors, and standard \(L\)-functions of \(\mathrm{GL}_{2n}\): real case ⋮ Rationality results for the exterior and the symmetric square \(L\)-function (with an appendix by Nadir Matringe) ⋮ WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT -FUNCTIONS ⋮ Algebraicity of metaplectic \(L\)-functions ⋮ Cohomologically induced distinguished representations and cohomological test vectors ⋮ On period relations for automorphic 𝐿-functions I ⋮ THE CRITICAL VALUES OF RANKIN–SELBERG CONVOLUTIONS ⋮ Algebraicity of the near central non-critical values of symmetric fourth \(L\)-functions for Hilbert modular forms ⋮ The critical numbers of Rankin-Selberg convolutions of cohomological representations ⋮ Period relations for cusp forms of \(\operatorname{GSp_4}\) ⋮ The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions ⋮ A cohomological interpretation of Archimedean zeta integrals for \(\mathrm{GL}_3\times\mathrm{GL}_2\) ⋮ On some arithmetic properties of automorphic forms ofGL_mover a division algebra

This page was built for publication: COHOMOLOGY OF ARITHMETIC GROUPS, PARABOLIC SUBGROUPS AND THE SPECIAL VALUES OF $L$-FUNCTIONS ON GL$_{n}$