Entireness of the Spinor L-functions for certain generic cusp forms on GSp(2)

DOI10.1353/ajm.2004.0032zbMath1058.11033OpenAlexW2112130885MaRDI QIDQ4826242

Tomonori Moriyama

Publication date: 11 November 2004

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1353/ajm.2004.0032

zbMATH Keywords

spinor \(L\)-functiongeneric cuspidal automorphic representationGSp(2)

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (12)

Whittaker functions for generalized principal series representations of \(\mathrm{GSp}(2,\mathbb{R})\) ⋮ Whittaker functions for \(P_J\)-principal series representations of \(\text{Sp}(3,\mathbb R)\) ⋮ On Petersson norms of generic cusp forms and special values of adjoint L -functions for GSp4 ⋮ Spinor $L$-functions for generic cusp forms on $GSp(2)$ belonging to principal series representations ⋮ Generalized Whittaker functions on \(\text{GSp}(2, \mathbb R)\) associated with indefinite quadratic forms ⋮ On higher regulators of Siegel threefolds II: the connection to the special value ⋮ Principal series Whittaker functions on \(Sp(2,\mathbb{C})\) ⋮ Spinor L-functions, theta correspondence, and Bessel coefficients ⋮ Higher Hida theory and \(p\)-adic \(L\)-functions for \(\mathrm{GSp}_4\) ⋮ On principal series Whittaker functions on \(\text{Sp}(2,\mathbb R)\) ⋮ Algebraicity of critical values of adjoint \(L\)-functions for \(\mathrm{GSp}_4\) ⋮ On the degree five $L$-function for $\mathrm {GSp}(4)$

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