Some q-Supercongruences Modulo the Fifth Power of a Cyclotomic Polynomial from Squares of q-Hypergeometric Series
Some q-Supercongruences Modulo the Fifth Power of a Cyclotomic Polynomial from Squares of q-Hypergeometric Series
复制标题
一些 q 超同余对 q 超几何级数的平方分圆多项式的五次方取模
DOI：
10.1007/s00025-021-01536-w
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发表时间：
2021-10
期刊：
影响因子：
--
通讯作者：
Chun Wang
中科院分区：
文献类型：
--
作者：
宋捍飞;Chun Wang
本文根据q -超几何级数的变换公式、El Bachraoui引理、郭祖林和祖丁林提出的创造性的显微镜观察方法和中国的协素数定理，从q -超几何级数的平方中，得到了若干模取环多项式五次的q -超同余。
In this paper, in view of the transformation formulae for q -hypergeometric series, a lemma of El Bachraoui, the creative microscoping method developed by Guo and Zudilin and the Chinese remainder theorem for coprime polynomials, we obtain certain q -supercongruences modulo the fifth power of a cyclotomic polynomial from squares of q -hypergeometric series.