Keywords
Supercongruence
p-adic Gamma function
Submitted : 2025-04-09
Accepted : 2025-04-24
Published : 2025-05-09
Abstract
This paper presents a new proof of Van Hamme’s supercongruence (H.2) using the WZ method, combining transformation and summation of WZ pairs and the properties of the p-adic Gamma function. Moreover, under the condition p ≡ 3 (mod 4), the study proves a supercongruence modulo p3.
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