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<p>Applying Singh’s quadratic transformation and the “creative microscoping” method (introduced by the author and Zudilin in 2019), the author proves several new <i>q</i>-supercongruences for truncated 4<i>ϕ</i>3 series. Some related conjectures on <i>q</i>-supercongruences are also presented.</p>

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Some q-Supercongruences from Singh’s Quadratic Transformation

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • Victor J. W. Guo

摘要

Applying Singh’s quadratic transformation and the “creative microscoping” method (introduced by the author and Zudilin in 2019), the author proves several new q-supercongruences for truncated 4ϕ3 series. Some related conjectures on q-supercongruences are also presented.