<p>In this paper, in view of El Bachraoui’s lemma, the creative microscoping method introduced by Guo and Zudilin, the Chinese remainder theorem for coprime polynomials, and Jackson’s <sub>6</sub>ϕ<sub>5</sub> summation formula, we establish several families of <i>q</i>-supercongruences modulo the fourth power of a cyclotomic polynomial on double, triple and quadruple sums respectively.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Several Families of q-supercongruences on Multiple Sums

  • Chun Wang,
  • Quan Zhao

摘要

In this paper, in view of El Bachraoui’s lemma, the creative microscoping method introduced by Guo and Zudilin, the Chinese remainder theorem for coprime polynomials, and Jackson’s 6ϕ5 summation formula, we establish several families of q-supercongruences modulo the fourth power of a cyclotomic polynomial on double, triple and quadruple sums respectively.