Transformations of well-poised hypergeometric functions over finite fields

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 we...

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Bibliographic Details

Published in:	Finite fields and their applications Vol. 18; no. 6; pp. 1133 - 1147
Main Author:	McCarthy, Dermot
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.11.2012
Subjects:	Character sums Gauss sums Hypergeometric function over finite fields Modular forms Transformations of hypergeometric series secondary Modular forms Hypergeometric function over finite fields Gauss sums Character sums primary Transformations of hypergeometric series
ISSN:	1071-5797, 1090-2465
Online Access:	Get full text
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