Transformations of Well-Poised Hypergeometric Functions over Finite Fields

Details Transformations of Well-Poised Hypergeometric Functions over Finite Fields Transformations of Well-Poised Hypergeometric Functions over Finite Fields

2012-04-19

arxiv.org/abs/1204.4377v1

Mathematics

Number Theory

Scientific paper

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 function's relationship to other finite field analogues of the classical series, most notably those defined by Greene and Katz.

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