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math.NT2021
-Supercongruences from squares of basic hypergeometric series
Victor J. W. Guo, Long Li
We give some new -supercongruences on truncated forms of squares of basic hypergeometric series. Most of them are modulo the cube of a cyclotomic polynomial, and two of them are…
math.NT2017★ 5 cited
Some new formulas for Appell series over finite fields
Long Li, Xin Li, Rui Mao
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 transform…
math.NT2016
An Appell series over finite fields
Bing He, Long Li, Ruiming Zhang
In this paper we present a finite field analogue for one of the Appell series. We shall derive its transformations, reduction formulas as well as generating functions.