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

被引：43
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.
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页数：13
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