PreprintCC BY 4.0arXiv
Siegel-Weil type identities for general linear groups related to parabolic induction from two Speh representations
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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BibTeX
@misc{ginzburg2026siegelweil,
title = {{Siegel-Weil type identities for general linear groups related to parabolic induction from two Speh representations}},
author = {David Ginzburg and David Soudry},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01762},
eprint = {2611.01762},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01762},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Siegel-Weil type identities for general linear groups related to parabolic induction from two Speh representations
AU - David Ginzburg
AU - David Soudry
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01762
UR - https://arxiv.org/abs/2611.01762
AB - 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.
ER -