A quadratic hypergeometric 2F1 transformation over finite fields

Ron Evans; John Greene

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arXiv · 1511.00020

A quadratic hypergeometric 2F1 transformation over finite fields

Ron Evans·John Greene

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Abstract

In 1984, the second author conjectured a quadratic transformation formula which relates two hypergeometric 2F1 functions over a finite field F_q. We prove this conjecture and give an application. The proof depends on a new linear transformation formula for pseudo hypergeometric functions over F_q.

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Ron Evans, John Greene. 2016-07-21. A quadratic hypergeometric 2F1 transformation over finite fields. https://arxiv.org/abs/1511.00020

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