Kamp\'e de F\'eriet hypergeometric functions over finite fields
Number Theory
2023-06-13 v2
Abstract
Kamp\'e de F\'eriet hypergeometric functions are two-variable hypergeometric functions, which are a generalization of Appell's functions. It is known that they satisfy many reduction and summation formulas. In this paper, we define Kamp\'e de F\'eriet hypergeometric functions over finite fields and show analogous formulas.
Cite
@article{arxiv.2212.14321,
title = {Kamp\'e de F\'eriet hypergeometric functions over finite fields},
author = {Ryojun Ito and Satoshi Kumabe and Akio Nakagawa and Yusuke Nemoto},
journal= {arXiv preprint arXiv:2212.14321},
year = {2023}
}
Comments
27 pages