Congruences for Domb and Almkvist-Zudilin numbers

2013/02/07 by Zhi-Hong Sun, Sun, Zhi-Hong · 2 citations
Mathematics · #05A10 #05A19 #33C45 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Primary 11A07 #Secondary 33C20

paper · pdf · doi:10.48550/arxiv.1302.1715

openalex publication_date 2013/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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