Transformations of Well-Poised Hypergeometric Functions over Finite Fields
Number Theory
2012-09-25 v2
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 function's relationship to other finite field analogues of the classical series, most notably those defined by Greene and Katz.
Cite
@article{arxiv.1204.4377,
title = {Transformations of Well-Poised Hypergeometric Functions over Finite Fields},
author = {Dermot McCarthy},
journal= {arXiv preprint arXiv:1204.4377},
year = {2012}
}