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<p>We establish two parametric <i>q</i>-congruences that recover known results of Guo, Wang and Yu. Our approach is based on a new generalization of the classical Carlitz identity, derived via the <i>q</i>-shift operator.</p>

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q-Congruences from a generalization of Carlitz’s identity

  • 期刊论文

  • 发表日期：

    2026年5月8日

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  • Chang Xu,
  • Dunkun Yang

摘要

We establish two parametric q-congruences that recover known results of Guo, Wang and Yu. Our approach is based on a new generalization of the classical Carlitz identity, derived via the q-shift operator.