English

Some new formulas for Appell series over finite fields

Number Theory 2017-01-11 v1

Abstract

In 1987 Greene introduced the notion of the finite field analogue of hypergeometric series. In this paper we give a finite field analogue of Appell series and obtain some transformation and reduction formulas. We also establish the generating functions for Appell series over finite fields.

Keywords

Cite

@article{arxiv.1701.02674,
  title  = {Some new formulas for Appell series over finite fields},
  author = {Long Li and Xin Li and Rui Mao},
  journal= {arXiv preprint arXiv:1701.02674},
  year   = {2017}
}
R2 v1 2026-06-22T17:46:22.020Z