A new regularized Siegel-Weil type formula. I

DOI10.1007/S00039-024-00657-YOpenAlexW4391124435MaRDI QIDQ6201486

David Ginzburg, David Soudry

Publication date: 21 February 2024

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-024-00657-y

zbMATH Keywords

Eisenstein series\(L\)-functionsSiegel-Weil formulaSpeh representations

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)

Cites Work

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• Poles of certain residual Eisenstein series of classical groups
• The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula
• A regularized Siegel-Weil formula: The first term identity
• On Fourier coefficients of automorphic forms of symplectic groups
• Ramified degenerate principal series representations for \(Sp(n)\)
• Top Fourier coefficients of residual Eisenstein series on symplectic or metaplectic groups, induced from Speh representations
• Two identities relating Eisenstein series on classical groups
• Doubling constructions and tensor product \(L\)-functions: the linear case
• Endoscopic lifting in classical groups and poles of tensor \(L\)-functions
• On the regularized Siegel-Weil formula
• Le spectre résiduel de ${\rm GL}(n)$
• Generating functions on covering groups
• The generalized doubling method: (𝑘,𝑐) models
• On Fourier coefficients of certain residual representations of symplectic groups

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