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<p>Several years ago, Long and Ramakrishna [Adv. Math. 290 (2016), 773–808] extended Van Hamme’s (H.2) supercongruence to the modulo <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(p^3\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>p</mi> <mn>3</mn> </msup> </math></EquationSource> </InlineEquation> case. In terms of the <i>q</i>-series method, we give a generalization of Long and Ramakrishna’s supercongruence in this paper.</p>

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A further generalization of Van Hamme’s (H.2) supercongruence

  • 期刊论文

  • 发表日期：

    2026年3月19日

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  • Chuanan Wei,
  • Yuanbo Yu

摘要

Several years ago, Long and Ramakrishna [Adv. Math. 290 (2016), 773–808] extended Van Hamme’s (H.2) supercongruence to the modulo \(p^3\) p 3 case. In terms of the q-series method, we give a generalization of Long and Ramakrishna’s supercongruence in this paper.