Selberg Integral over Local Fields
Number Theory
2018-10-04 v1
Abstract
Selberg introduced his beautiful integral formula in 1944, see [Sel]. Evans [E1] conjectured a finite field analog of Selberg integral formula in 1980. And Anderson [An] proved a major case of it in 1981 and his ideas was used to obtained the complete result [E2]. On the other hand, Aomoto [Ao] proved an analog of Selberg integral for complex field in 1987. The purpose of the present paper is to formulate and prove Selberg integral formula for local fields of characteristic zero.
Cite
@article{arxiv.1810.01694,
title = {Selberg Integral over Local Fields},
author = {Zenan Fu and Yongchang Zhu},
journal= {arXiv preprint arXiv:1810.01694},
year = {2018}
}
Comments
12 pages, no figures