Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial
Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial
复制标题
以分圆多项式的五次方为模的基本超几何超同余的证明
DOI：
10.1080/10236198.2019.1622690
复制
发表时间：
2019-05-30
影响因子：
1.1
通讯作者：
Schlosser, Michael J.
中科院分区：
文献类型：
--
作者：
Guo, Victor J. W.;Schlosser, Michael J.
摘要利用q-Zeilberger算法证明了分圆多项式的模五次幂的一个基本超几何超同余。这个结果似乎是非常独特的，因为在现有的文献中，迄今为止还没有基本的超几何超同余模的权力大于四分圆多项式已被证明。我们也建立了一些相关的结果，包括一个参数超同余。
ABSTRACT By means of the q-Zeilberger algorithm, we prove a basic hypergeometric supercongruence modulo the fifth power of the cyclotomic polynomial . This result appears to be quite unique, as in the existing literature so far no basic hypergeometric supercongruences modulo a power greater than the fourth of a cyclotomic polynomial have been proved. We also establish a couple of related results, including a parametric supercongruence.