Some New <i>q</i>-Congruences for Truncated Basic Hypergeometric Series

Some New <i>q</i>-Congruences for Truncated Basic Hypergeometric Series

We provide several new <i>q</i>-congruences for truncated basic hypergeometric series, mostly of arbitrary order. Our results include congruences modulo the square or the cube of a cyclotomic polynomial, and in some instances, parametric generalizations thereof. These are established by...

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Bibliographic Details
Main Authors:	Victor J. W. Guo, Michael J. Schlosser
Format:	Article
Language:	English
Published:	MDPI AG 2019-02-01
Series:	Symmetry
Subjects:	basic hypergeometric series supercongruences <i>q</i>-congruences cyclotomic polynomial Andrews’ transformation <i>q</i>-binomial theorem
Online Access:	https://www.mdpi.com/2073-8994/11/2/268

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