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...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Finite fields and their applications Jg. 18; H. 6; S. 1133 - 1147
1. Verfasser:	McCarthy, Dermot
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier Inc 01.11.2012
Schlagworte:	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-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!