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Convergence of Kac--Moody Eisenstein Series over a function field
- Publication Year :
- 2022
-
Abstract
- We establish everywhere convergence in a natural domain for Eisenstein series on a symmetrizable Kac--Moody group over a function field. Our method is different from that of the affine case which does not directly generalize. In comparison with the analogous result over the real numbers, everywhere convergence is achieved without any additional condition on the root system.<br />Comment: 11 pages
- Subjects :
- Mathematics - Number Theory
Mathematics - Representation Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2203.08628
- Document Type :
- Working Paper