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arXiv · 1801.00921

A finite field analogue of the Appell series $F_4$

Mohit Tripathi·Rupam Barman
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Abstract

We define a function $F_4^{\ast}$ as a finite field analogue of the classical Appell series $F_4$ using Gauss sums. We establish identities for $F_4^{\ast}$ analogous to those satisfied by the classical Appell series $F_4$.

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Mohit Tripathi, Rupam Barman. 2018-01-03. A finite field analogue of the Appell series $F_4$. https://arxiv.org/abs/1801.00921

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