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Proof of Sun's supercongruence involving Catalan numbers

2020/01/12 by Ji-Cai Liu, Liu, Ji-Cai
Mathematics · #05A19 #11A07 #11B65 #33C20 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:05A19 #msc:11A07 #msc:11B65 #msc:33C20

paper · pdf · doi:10.48550/arxiv.2001.03941

9 pages

arxiv created 2020/01/12 · openalex publication_date 2020/01/12 · arxiv updated 2020/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We confirm a conjectural supercongruence involving Catalan numbers, which is one of the 100 selected open conjectures on congruences of Sun. The proof makes use of hypergeometric series identities and symbolic summation method.

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