Some new formulas for Appell series over finite fields

2017/01/03 by Li, Long, Li, Xin, Mao, Rui
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1701.02674

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.

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