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<p>By employing the method of ‘creative microscoping’ introduced by Guo and Zudilin and the Chinese remainder theorem for coprime polynomials, we establish a new <i>q</i>-supercongruence modulo the fourth power of a cyclotomic polynomial with two parameters, which is the further generalization of a recent <i>q</i>-supercongruence due to Guo and Schlosser.</p>

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A parametric q-supercongruence modulo the fourth power of a cyclotomic polynomial

  • 期刊论文

  • 发表日期：

    2025年5月28日

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  • Chun Wang

摘要

By employing the method of ‘creative microscoping’ introduced by Guo and Zudilin and the Chinese remainder theorem for coprime polynomials, we establish a new q-supercongruence modulo the fourth power of a cyclotomic polynomial with two parameters, which is the further generalization of a recent q-supercongruence due to Guo and Schlosser.