Transformations of well-poised hypergeometric functions over finite fields

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Abstract

We define a hypergeometric function over finite fields which is an analogue of the classical generalized hypergeometric series. We prove that this function satisfies many transformation and summation formulas. Some of these results are analogous to those given by Dixon, Kummer and Whipple for the well-poised classical series. We also discuss this functionʼs relationship to other finite field analogues of the classical series, most notably those defined by Greene and Katz.
Original languageEnglish
Pages (from-to)1133–1147
JournalFinite Fields and Their Applications
DOIs
StatePublished - Nov 2012

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