A new regularized Siegel-Weil type formula, part I
Representation Theory
2022-07-27 v1
Abstract
In this paper, we propose a formula relating certain residues of Eisenstein series on symplectic groups. These Eisenstein series are attached to parabolic data coming from Speh representations. The proposed formula bears a strong similarity to the regularized Siegel-Weil formula, established by Kudla and Rallis for symplectic-orthogonal dual pairs. Their work was later generalized by Ikeda, Moeglin, Ichino, Yamana, Gan-Qiu-Takeda and others.
Cite
@article{arxiv.2207.12818,
title = {A new regularized Siegel-Weil type formula, part I},
author = {David Ginzburg and David Soudry},
journal= {arXiv preprint arXiv:2207.12818},
year = {2022}
}