L-Functions for Holomorphic Forms on GSp(4) x GL(2) and Their Special Values

DOI10.1093/imrn/rnp001zbMath1252.11045arXiv0807.0620OpenAlexW3104105431MaRDI QIDQ3633173

Abhishek Saha

Publication date: 17 June 2009

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

Full work available at URL: https://arxiv.org/abs/0807.0620

zbMATH Keywords

algebraicity result for critical valueexplicit integral representation for \(L\)-functions of pairsholomorphic elliptic newformholomorphic genus two Siegel newform

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) 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) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (8)

Bessel models for \(\mathrm{GSp}(4)\): Siegel vectors of square-free level ⋮ Non-vanishing of fundamental Fourier coefficients of paramodular forms ⋮ On the cuspidality of pullbacks of Siegel Eisenstein series to \(\text{Sp}_{2m} \times\text{Sp}_{2n}\) ⋮ Local and global Maass relations ⋮ Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients ⋮ ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS OF DEGREE 2 ⋮ Transfer of Siegel cusp forms of degree 2 ⋮ On the degree five $L$-function for $\mathrm {GSp}(4)$

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