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arXiv · 2611.01762

Siegel-Weil type identities for general linear groups related to parabolic induction from two Speh representations

David Ginzburg·David Soudry
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Abstract

We prove identities of Siegel-Weil type for Eisenstein series on general linear groups, attached to parabolic induction from two Speh representations corresponding to the same irreducible, cuspidal representation. Such an identity relates a residue, at a (simple) pole of an Eisenstein series, as above, to a value of a similarly structured Eisenstein series at a point of holomorphy.

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David Ginzburg, David Soudry. 2026-11-01. Siegel-Weil type identities for general linear groups related to parabolic induction from two Speh representations. https://arxiv.org/abs/2611.01762

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