A New Proof of the (H.2) Supercongruence of Van Hamme by a WZ Pair
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.
Authors
- F. Ding (ORCID: https://orcid.org/0000-0001-5886-8847)
Institutions
- Tianjin University of Technology (CN)
Publication Details
- Journal
- Scientific and Social Research
- Published
- 2025-05-07
- DOI
- https://doi.org/10.26689/ssr.v7i4.10173
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00