Supercongruences between truncated ₃F₂ hypergeometric series

2017/02/19 by Ji-Cai Liu, Liu, Ji-Cai
Mathematics · #11A07 #33C20 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1702.07232

openalex publication_date 2017/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish four supercongruences between truncated ₃F₂ hypergeometric series involving p-adic Gamma functions, which extend some of the Rodriguez-Villegas supercongruences.

Citations

• Supercongruences related to ₃F₂(1) involving harmonic numbers
• Some supercongruences occurring in truncated hypergeometric series

Related

• Supercongruences involving p-adic Gamma functions
• Supercongruences for truncated hypergeometric series and p-adic gamma function
• Two supercongruences involving truncated hypergeometric series
• p-adic analogues of hypergeometric identities
• Supercongruences related to ₃F₂(1) involving harmonic numbers