Poles ofL-functions and theta liftings for orthogonal groups

DOI10.1017/S1474748009000097zbMath1239.11063MaRDI QIDQ3183196

David Soudry, David Ginzburg, Di-Hua Jiang

Publication date: 19 October 2009

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

zbMATH Keywords

orthogonal groupstheta functionsWeil representationL-functionsautomorphic representations

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (12)

Poles of Eisenstein series and theta lifts for unitary groups ⋮ Periods and \((\chi, b)\)-factors of cuspidal automorphic forms of symplectic groups ⋮ Periods and \((\chi,b)\)-factors of cuspidal automorphic forms of metaplectic groups ⋮ On \((\chi , b)\)-factors of cuspidal automorphic representations of unitary groups. I. ⋮ \(L\)-functions of pairs for classical groups ⋮ Large values of eigenfunctions on arithmetic hyperbolic 3-manifolds ⋮ The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula ⋮ \(L\)-functions and theta correspondence for classical groups ⋮ The Hodge conjecture and arithmetic quotients of complex balls ⋮ On the residue method for period integrals ⋮ On the regularized Siegel–Weil formula (the second term identity) and non-vanishing of theta lifts from orthogonal groups ⋮ The Noether-Lefschetz conjecture and generalizations

Cites Work

• Some examples of automorphic forms on Sp4
• Howe correspondences on a \(p\)-adic field
• On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions
• A trace formula for reductive groups. I: Terms associated to classes in G(Q)
• Splitting metaplectic covers of dual reductive pairs
• A regularized Siegel-Weil formula: The first term identity
• The local converse theorem for \(\operatorname {SO}(2n+1)\) and applications
• On lifting from classical groups to \(\text{GL}_N\)
• On the genericity of cuspidal automorphic forms of SO2n+1
• G2-periods and residual representations
• On the nonvanishing of the central value of the Rankin-Selberg 𝐿-functions
• On the genericity of cuspidal automorphic forms of $\mathbf{SO}\bm{(2n+1)}$, II

This page was built for publication: Poles ofL-functions and theta liftings for orthogonal groups