Transformations of well-poised hypergeometric functions over finite fields
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Publication:690422
DOI10.1016/J.FFA.2012.08.007zbMATH Open1276.11198arXiv1204.4377OpenAlexW2025996016MaRDI QIDQ690422
Author name not available (Why is that?)
Publication date: 27 November 2012
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1204.4377
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