ARTICLE
Volume 8,Issue 8
7 May 2025
A New Proof of the (H.2) Supercongruence of Van Hamme by a WZ Pair
Feng-Xin Ding
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1
College of Science, Tianjin University of Technology, Tianjin 300384, China,
ssr 2025 , 7(4), 309–316;
https://doi.org/10.26689/ssr.v7i4.10173
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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