SSRScientific and Social Research2661-43322981-9946Bio-Byword Scientific Publishing Pty. Ltd.10.26689/ssr.v7i4.10173ArticleA New Proof of the (H.2) Supercongruence of Van Hamme by a WZ Pairhttps://artdesignp.com/journal/SSR/7/4/10.26689/ssr.v7i4.10173DingFeng-Xin2025742025-05-07This 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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