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arxiv: 1704.03509 · v2 · pith:FCDQZ5Y4new · submitted 2017-04-04 · 🧮 math.CA

A finite field analogue for Appell series F₃

Bing He This is my paper
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keywords finiteanalogueappellfieldseriescertainfieldsformulae
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In this paper we introduce a finite field analogue for the Appell series F_3 and give some reduction formulae and certain generating functions for this function over finite fields.

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  1. Symmetry of hypergeometric functions over finite fields and geometric interpretation

    math.NT 2025-05 unverdicted novelty 6.0

    Hypergeometric functions over finite fields satisfy a classical-style symmetry, proven by constructing isomorphisms between algebraic varieties whose rational point counts equal the functions.