<p>Employing the method of creative microscoping and the Chinese remainder theorem for polynomials, we establish a new <i>q</i>-supercongruence modulo the fourth power of a cyclotomic polynomial. A special case of our result reduces to the <i>q</i>-supercongruence previously obtained by Guo and Schlosser.</p>

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A New q-Supercongruence Modulo the Fourth Power of a Cyclotomic Polynomial

  • Dandan Chen,
  • Qianqian Deng

摘要

Employing the method of creative microscoping and the Chinese remainder theorem for polynomials, we establish a new q-supercongruence modulo the fourth power of a cyclotomic polynomial. A special case of our result reduces to the q-supercongruence previously obtained by Guo and Schlosser.