A quadratic hypergeometric 2F1 transformation over finite fields

Published 30 Oct 2015 in math.NT | (1511.00020v4)

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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