Degree 16 standard 𝐿-function of 𝐺𝑆𝑝(2)×𝐺𝑆𝑝(2)

DOI10.1090/memo/0588zbMath0874.11040OpenAlexW2086698042MaRDI QIDQ5690754

Di-Hua Jiang

Publication date: 11 November 1997

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0588

zbMATH Keywords

\(L\)-functionautomorphic representationspoles of Eisenstein serieslocal integralsRankin-Selberg type integrallocal \(L\)-functions

Mathematics Subject Classification ID

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) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (13)

A weak second term identity of the regularized Siegel-Weil formula for unitary groups ⋮ Constant terms of spherical Eisenstein series on quasi-split unitary groups ⋮ On Petersson norms of generic cusp forms and special values of adjoint L -functions for GSp4 ⋮ Fourier coefficients of automorphic forms, character variety orbits, and small representations ⋮ A multivariate integral representation on 𝐺𝐿₂×𝐺𝑆𝑝₄ inspired by the pullback formula ⋮ On a certain metaplectic Eisenstein series and the twisted symmetric square \(L\)-function ⋮ On zeta functions and families of Siegel modular forms ⋮ Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators ⋮ Spin 𝐿-functions on 𝐺𝑆𝑝₈ and 𝐺𝑠𝑝₁₀ ⋮ The first term identities for Eisenstein series ⋮ A Siegel-Weil identity for \(G_2\) and poles of \(L\)-functions ⋮ Rankin-Selberg \(L\)-functions via good sections ⋮ Algebraicity of critical values of adjoint \(L\)-functions for \(\mathrm{GSp}_4\)

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