THE CRITICAL VALUES OF RANKIN–SELBERG CONVOLUTIONS

DOI10.1142/S1793042112501345zbMath1305.11039MaRDI QIDQ4904422

Hendrik Kasten, Claus Günther Schmidt

Publication date: 29 January 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Lie algebra cohomologyspecial values of automorphic \(L\)-functions

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Cohomology of Lie (super)algebras (17B56) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (11)

\(p\)-adic \(L\)-functions for Rankin-Selberg convolutions over number fields ⋮ Archimedean zeta integrals for 𝐺𝐿(3)×𝐺𝐿(2) ⋮ On the nonvanishing hypothesis for Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}(ℂ)×𝔾𝕃_{𝕟}(ℂ) ⋮ \(p\)-adic automorphic \(L\)-functions on \(\mathrm{GL}(3)\) ⋮ On \(p\)-adic \(L\)-functions for \(\text{GL}(2)\times\text{GL}(3)\) via pullbacks of Saito-Kurokawa lifts ⋮ On period relations for automorphic 𝐿-functions I ⋮ 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 ⋮ Eisenstein Cohomology for $$\mathrm{Sl}_2({\mathbb Z}[i)$$ Sl 2 ( Z [ i ] ) and Special Values of L-Functions] ⋮ The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions ⋮ A cohomological interpretation of Archimedean zeta integrals for \(\mathrm{GL}_3\times\mathrm{GL}_2\)

Cites Work

• Unnamed Item
• Relative modular symbols and \(p\)-adic Rankin-Selberg convolutions
• Eisenstein cohomology of arithmetic groups. The case \(GL_ 2\)
• Conducteur des représentations du groupe linéaire
• Converse theorems for \(\text{GL}_n\)
• Arithmetic of Weil curves
• Rankin-Selberg Convolutions
• Symmetry, Representations, and Invariants
• On Euler Products and the Classification of Automorphic Representations I
• PERIODS OF PARABOLIC FORMS AND $ p$-ADIC HECKE SERIES
• COHOMOLOGY OF ARITHMETIC GROUPS, PARABOLIC SUBGROUPS AND THE SPECIAL VALUES OF $L$-FUNCTIONS ON GL$_{n}$
• Lie groups beyond an introduction
• Period relations and \(p\)-adic measures

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