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A New Family of q-Supercongruences from Jackson’s 6ϕ5\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi _5$$\end{document} SummationA New Family of q-SupercongruencesV. J. W. Guo
被引：0
作者：
Victor J. W. Guo
[1
]
机构：
[1] Hangzhou Normal University,School of Mathematics
关键词：
-Congruences;
Jackson’s ;
summation;
creative microscoping;
Chinese remainder theorem for polynomials;
33D15;
11A07, 11B65;
D O I：
10.1007/s00025-025-02369-7
中图分类号：
学科分类号：
摘要：
We obtain a new family of q-congruences modulo the fourth power of a cyclotomic polynomial. The key ingredients of our proof are the creative microscoping method, Jackson’s 6ϕ5\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$\phi _5$$\end{document} summation, and the Chinese remainder theorem for polynomials.
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