Proof of a q-congruence conjectured by Tauraso-Reference-Cited by-同舟云学术

Proof of a q-congruence conjectured by Tauraso

Published:2019-02 Issue:01 Volume:15 Page:37-41
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Guo Victor J. W.¹

Affiliation:

1. School of Mathematical Sciences, Huaiyin Normal University, Huai’an 223300, Jiangsu, People’s Republic of China

Abstract

Using a [Formula: see text]-series identity of Carlitz and a [Formula: see text]-analogue of Morley’s congruence due to Pan, we give a proof of a [Formula: see text]-congruence conjectured by Tauraso.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042118501713

Reference9 articles.

1. Basic Hypergeometric Series

2. A q-analogue of a Ramanujan-type supercongruence involving central binomial coefficients

3. Some congruences involving central q-binomial coefficients

4. A generalization of Morley’s congruence

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