Relative modular symbols and Rankin-Selberg convolutions

DOI10.1515/crll.2000.019zbMath0941.11020OpenAlexW2082147882MaRDI QIDQ4942704

Barry Mazur, D. A. Kazhdan, Claus Günther Schmidt

Publication date: 10 May 2000

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

Full work available at URL: https://doi.org/10.1515/crll.2000.019

zbMATH Keywords

modular symbolsspecial values\(p\)-adic distributionalgebraicitycuspidal automorphic representations\(p\)-adic \(L\)-functionsautomorphic \(L\)-functionintegralityRankin-Selberg convolutionscongruence propertiescuspidal cohomologyLie-algebra cohomologyrelative modular symbolstwisting Dirichlet character

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 (15)

Square root \(p\)-adic \(L\)-functions. I: Construction of a one-variable measure ⋮ \(p\)-adic \(L\)-functions for Rankin-Selberg convolutions over number fields ⋮ Arithmetical modular forms and new constructions of \(p\)-adic \(L\)-functions on classical groups ⋮ On Shalika models and \(p\)-adic \(L\)-functions ⋮ The work of Barry Mazur ⋮ Rationality results for the exterior and the symmetric square \(L\)-function (with an appendix by Nadir Matringe) ⋮ Cohomologically induced distinguished representations and cohomological test vectors ⋮ On period relations for automorphic 𝐿-functions I ⋮ \(\mathfrak{p}\)-adic distributions attached to twisted tensor \(L\)-functions for \(\mathrm{GL}_{2}\) over CM fields ⋮ Test vectors for Rankin-Selberg \(L\)-functions ⋮ Eisenstein Cohomology for $$\mathrm{Sl}_2({\mathbb Z}[i)$$ Sl 2 ( Z [ i ] ) and Special Values of L-Functions] ⋮ Riemann’s zeta function and beyond ⋮ The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions ⋮ A cohomological interpretation of Archimedean zeta integrals for \(\mathrm{GL}_3\times\mathrm{GL}_2\) ⋮ Spherical varieties and norm relations in Iwasawa theory

Cites Work

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