Appell-Lauricella hypergeometric functions over finite fields and algebraic varieties

2022/10/25 by A. Nakagawa, Nakagawa, Akio · 1 citation
Computer Science · Mathematics · #11T24 #14J70 #33C90 #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2210.13993

openalex publication_date 2022/10/25 · openalex created_date 2022/11/01 · openalex updated_date 2026/07/28

Abstract

We prove finite field analogues of integral representations of Appell- Lauricella hypergeometric functions in many variables. We consider certain hypersurfaces having a group action and compute the numbers of rational points associated with characters of the group, which will be expressed in terms of Appell-Lauricella functions over finite fields.

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