Appell-Lauricella hypergeometric functions over finite fields and algebraic varieties
Number Theory
2023-01-31 v4
Abstract
We prove finite field analogues of integral representations of Appell- Lauricella hypergeometric functions in many variables. We consider certain hypersurfaces having a group action and compute the numbers of rational points associated with characters of the group, which will be expressed in terms of Appell-Lauricella functions over finite fields.
Cite
@article{arxiv.2210.13993,
title = {Appell-Lauricella hypergeometric functions over finite fields and algebraic varieties},
author = {Akio Nakagawa},
journal= {arXiv preprint arXiv:2210.13993},
year = {2023}
}
Comments
26 pages