A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial

被引：50

作者：

Guo, Victor J. W. ^{[1
]}

Schlosser, Michael J. ^{[2
]}

机构：

[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China

[2] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

RESULTS IN MATHEMATICS | 2020年 / 75卷 / 04期

基金：

奥地利科学基金会; 中国国家自然科学基金;

关键词：

Basic hypergeometric series; supercongruences; q-congruences; cyclotomic polynomial; q-microscoping; Chinese remainder theorem for polynomials; CONGRUENCES;

D O I：

10.1007/s00025-020-01272-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a new family of q-supercongruences modulo the fourth power of a cyclotomic polynomial, and give several related results. Our main ingredients are q-microscoping and the Chinese remainder theorem for polynomials.

引用

页数：13

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