Scholarlink

<p>Through the Chinese remainder theorem for coprime polynomials and the ‘creative microscoping’ method, we establish several new parametric <i>q</i>-supercongruences modulo the fourth powers of a cyclotomic polynomial, whose corresponding congruences can be regarded as variations of Van Hamme’s (J.2) supercongruence. Meanwhile, we confirm some supercongruence conjectures of Tang, Guo and He.</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

On Some Conjectures Related to a Quadratic Transformation of Rahman

  • 期刊论文

  • 发表日期：

    2026年6月5日

查看全文
  • He-Xia Ni

摘要

Through the Chinese remainder theorem for coprime polynomials and the ‘creative microscoping’ method, we establish several new parametric q-supercongruences modulo the fourth powers of a cyclotomic polynomial, whose corresponding congruences can be regarded as variations of Van Hamme’s (J.2) supercongruence. Meanwhile, we confirm some supercongruence conjectures of Tang, Guo and He.