The first term identities for Eisenstein series

DOI10.1006/jnth.1998.2223zbMath0913.11021OpenAlexW2078090346MaRDI QIDQ1267310

Di-Hua Jiang

Publication date: 7 June 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2223

zbMATH Keywords

Eisenstein seriessingularitynumber fieldSiegel-Weil formulamaximal parabolic subgroupsKudla-Rallis formula

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

Related Items (7)

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 ⋮ Non-Siegel Eisenstein series for symplectic groups ⋮ A multivariate integral representation on 𝐺𝐿₂×𝐺𝑆𝑝₄ inspired by the pullback formula ⋮ On endoscopy and the refined Gross–Prasad conjecture for (SO₅, SO₄) ⋮ Holomorphy of adjoint \(L\) functions for quasisplit \(A_2\) ⋮ A Siegel-Weil identity for \(G_2\) and poles of \(L\)-functions

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