On the Siegel-Weil formula for classical groups over function fields
Number Theory
2020-01-22 v5
Abstract
We establish a Siegel-Weil formula for classical groups over a function field with odd characteristic, which asserts in many cases that the Siegel Eisenstein series is equal to an integral of a theta function. This is a function-field analogue of the classical result proved by A. Weil in his 1965 Acta Math. paper. We also give a convergence criterion for the theta integral by using Harder's reduction theory over function fields.
Cite
@article{arxiv.1806.02049,
title = {On the Siegel-Weil formula for classical groups over function fields},
author = {Wei Xiong},
journal= {arXiv preprint arXiv:1806.02049},
year = {2020}
}
Comments
some corrections and modifications are made in this version