A q-analogue of the (J.2) supercongruence of Van Hamme-Reference-Cited by-同舟云学术

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A q-analogue of the (J.2) supercongruence of Van Hamme

Published:2018-10 Issue:1 Volume:466 Page:776-788
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Guo Victor J.W.^ORCID

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference33 articles.

1. The Theory of Partitions;Andrews,1998

2. Ramanujan's Notebooks Part IV;Berndt,1994

3. Factorial ratios, hypergeometric series, and a family of step functions;Bober;J. Lond. Math. Soc. (2),2009

4. Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity;Borwein,1987

5. A WZ proof of Ramanujan's formula for π;Ekhad,1994

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1. -tuple sum analogues for Ramanujan-type congruences;Proceedings of the American Mathematical Society;2022-07-15

2. The $ q $-WZ pairs and divisibility properties of certain polynomials;AIMS Mathematics;2022

3. Some q-congruences arising from certain identities;Periodica Mathematica Hungarica;2021-08-02

4. q-analogues of the (G.2) supercongruence of Van Hamme;Rocky Mountain Journal of Mathematics;2021-08-01

5. q-Supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping;Advances in Applied Mathematics;2020-09

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