Onp-adicL-Functions for GL (n) × GL (n-1) Over Totally Real Fields

DOI10.1093/imrn/rnu181zbMath1385.11029arXiv1111.1818OpenAlexW2333758169MaRDI QIDQ2949661

Fabian Januszewski

Publication date: 2 October 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1818

zbMATH Keywords

\(p\)-adic \(L\)-functionsRankin-Selberg convolutionsBirch lemma

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Zeta functions and (L)-functions (11S40)

Related Items (11)

\(p\)-adic \(L\)-functions for Rankin-Selberg convolutions over number fields ⋮ On Shalika models and \(p\)-adic \(L\)-functions ⋮ On the decomposition of Hecke polynomials over parabolic Hecke algebras ⋮ Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of \(p\)-adic \(L\)-functions ⋮ Overconvergent cohomology of Hilbert modular varieties and p-adic L-functions ⋮ On \(p\)-adic \(L\)-functions for \(\text{GL}(2)\times\text{GL}(3)\) via pullbacks of Saito-Kurokawa lifts ⋮ Rational structures on automorphic representations ⋮ On period relations for automorphic 𝐿-functions I ⋮ L-functions of GL_2n: p-adic properties and non-vanishing of twists ⋮ The nonvanishing hypothesis at infinity for Rankin-Selberg convolutions ⋮ Overconvergent cohomology, \(p\)-adic \(L\)-functions and families for \(\mathrm{GL}(2)\) over CM fields

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