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Congruences concerning truncated hypergeometric series

Part of: Elementary number theory

Published online by Cambridge University Press:  16 March 2017

Bing He
Bing He*
Affiliation:
Department of Applied Mathematics, College of Science, Northwest A&F University, Yangling 712100, Shaanxi, People's Republic of China (yuhe001@foxmail.com)
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We employ some formulae on hypergeometric series and p-adic Gamma function to establish several congruences.

Keywords

p-adic Gamma functiontruncated hypergeometric seriescongruence

MSC classification

Secondary: 11A07: Congruences; primitive roots; residue systems 33C20: Generalized hypergeometric series, $_pF_q$
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 3 , June 2017 , pp. 599 - 613
Copyright
Copyright © Royal Society of Edinburgh 2017