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Integral Transforms and Special Functions Volume 26, 2015 - Issue 8
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Original Articles

Congruences for Domb and Almkvist-Zudilin numbers

Zhi-Hong SunSchool of Mathematical Sciences, Huaiyin Normal University, Huaian, Jiangsu223001, People's Republic of ChinaCorrespondence[email protected]
Pages 642-659 | Received 17 Dec 2014, Accepted 23 Mar 2015, Published online: 29 Apr 2015
 
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Abstract

In this paper, we prove some transformation formulae for congruences modulo a prime and deduce some congruences for Domb numbers and Almkvist-Zudilin numbers. We also pose some conjectures on congruences modulo prime powers.

Mathematical Subject Classifications (2010):

Disclosure statement

No potential conflict of interest was reported by the author.

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