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On the Siegel-Weil formula for classical groups over function fields.
- Source :
-
Journal of Number Theory . Oct2020, Vol. 215, p52-97. 46p. - Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 215
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 144265709
- Full Text :
- https://doi.org/10.1016/j.jnt.2020.01.007