On the Siegel-Weil formula for classical groups over function fields

Wei Xiong

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arXiv · 1806.02049

On the Siegel-Weil formula for classical groups over function fields

Wei Xiong

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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.

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Wei Xiong. 2018-06-06. On the Siegel-Weil formula for classical groups over function fields. https://arxiv.org/abs/1806.02049

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