SOME NEW q-SUPERCONGRUENCES INVOLVING ONE FREE PARAMETER

被引：2
|
作者：
Wang, Xiaoxia [1 ]
Yu, Menglin [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 04期
基金：
上海市自然科学基金;
关键词：
combinatorial congruence; q-congruence; cyclotomic polynomial; q-supercongruence; CONGRUENCES;
D O I：
10.1216/rmj.2023.53.1285
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, Guo (2019) gave a q-analogue of a combinatorial congruence by Sun (2010). Later, Wang and Ni (2022) obtained several conclusions similar to Guo's q-congruence. We establish some q- supercongruences involving one free parameter, which are common generalizations of these q-congruences of Guo and Wang and Ni just mentioned.
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页码：1285 / 1290
页数：6
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