A finite field analogue of the Appell series F₄

2018/01/03 by Mohit Tripathi, Tripathi, Mohit, Rupam Barman +1
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1801.00921

Abstract

We define a function F₄^∗ as a finite field analogue of the classical Appell series F₄ using Gauss sums. We establish identities for F₄^∗ analogous to those satisfied by the classical Appell series F₄.

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