A q-analogue of the (J.2) supercongruence of Van Hamme
- 1 October 2018
- journal article
- research article
- Published by Elsevier in Journal of Mathematical Analysis and Applications
- Vol. 466 (1) , 776-788
Abstract
No abstract availableKeywords
Funding Information
- National Natural Science Foundation of China (11771175)
This publication has 21 references indexed in Scilit:
- Hypergeometric evaluation identities and supercongruencesPacific Journal of Mathematics, 2011
- Ramanujan-type supercongruencesJournal of Number Theory, 2009
- Factorial ratios, hypergeometric series, and a family of step functionsJournal of the London Mathematical Society, 2009
- A $p$-adic supercongruence conjecture of van HammeProceedings of the American Mathematical Society, 2008
- A q-analogue of Lehmer's congruenceActa Arithmetica, 2007
- Some binomial series obtained by the WZ-methodAdvances in Applied Mathematics, 2002
- An algorithmic proof theory for hypergeometric (ordinary and “q”) multisum/integral identitiesInventiones Mathematicae, 1992
- Rational function certification of multisum/integral/“𝑞” identitiesBulletin of the American Mathematical Society, 1992
- Strange Evaluations of Hypergeometric SeriesSIAM Journal on Mathematical Analysis, 1982
- Note on the Congruence 2 4n ≡(-) n (2n)!/(n!) 2 , Where 2n + 1 is a PrimeAnnals of Mathematics, 1894