The spin \(L\)-function on the symplectic group GSp(6)

DOI10.1007/BF02760921zbMath0911.22013MaRDI QIDQ1380496

San Cao Vo

Publication date: 28 April 1999

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

zbMATH Keywords

automorphic formlocal functional equationWhittaker functionsJacquet functorslocal zeta integralsspin \(L\)-function

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) 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) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items

Whittaker functions for \(P_J\)-principal series representations of \(\text{Sp}(3,\mathbb R)\) ⋮ Periods of automorphic forms, poles of \(L\)-functions and functorial lifting ⋮ Galois representations for general symplectic groups ⋮ Subgroups of \(\mathrm{Spin}(7)\) or \(\mathrm{SO}(7)\) with each element conjugate to some element of \(\mathrm{G}_2\) and applications to automorphic forms ⋮ Dichotomy for generic supercuspidal representations ofG₂ ⋮ On zeta functions and families of Siegel modular forms ⋮ Periods and liftings: From \(G_2\) to \(C_3\) ⋮ Spin 𝐿-functions on 𝐺𝑆𝑝₈ and 𝐺𝑠𝑝₁₀

Cites Work

• Automorphic forms on \(GL(3)\). I, II
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
• Automorphic L -functions of half-integral weight
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