Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications

2023/06/28 by Nakagawa, Akio
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2306.15936

Abstract

We prove sum representations of Appell-Lauricella functions over a finite field using confluent hypergeometric functions over the finite field. As an application, we also prove transformation formulas, summation formulas and reduction formulas for Appell-Lauricella functions over the finite field.

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