Top Fourier coefficients of residual Eisenstein series on symplectic or metaplectic groups, induced from Speh representations

DOI10.1007/s40993-021-00306-5zbMath1492.11100arXiv2012.03717OpenAlexW3168286586WikidataQ114218073 ScholiaQ114218073MaRDI QIDQ2071039

David Ginzburg, David Soudry

Publication date: 25 January 2022

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

Full work available at URL: https://arxiv.org/abs/2012.03717

zbMATH Keywords

Eisenstein seriesnilpotent orbitspolesSpeh representations

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (1)

A new regularized Siegel-Weil type formula. I

Cites Work

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• Poles of certain residual Eisenstein series of classical groups
• On some explicit formulas in the theory of Weil representation
• A regularized Siegel-Weil formula: The first term identity
• On Fourier coefficients of automorphic forms of symplectic groups
• Two identities relating Eisenstein series on classical groups
• Doubling constructions and tensor product \(L\)-functions: the linear case
• Certain conjectures relating unipotent orbits to automorphic representations
• Criteria for the existence of cuspidal theta representations
• Le spectre résiduel de ${\rm GL}(n)$
• Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences
• On Fourier coefficients of certain residual representations of symplectic groups

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