Two q-congruences from Carlitz's formula

被引：10
作者：
Gu, Cheng-Yang [1 ]
Guo, Victor J. W. [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
来源：
PERIODICA MATHEMATICA HUNGARICA | 2021年 / 82卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Congruence; q-congruence; Cyclotomic polynomial; Carlitz's formula;
D O I：
10.1007/s10998-020-00341-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, using a formula of Carlitz, the second author proved a q-congruence conjectured by Tauraso. In this note we utilize Carlitz's formula to prove two more similar q-congruences. We also propose a conjectural q-congruence that refines one of our q-congruences.
引用
收藏
页码：82 / 86
页数：5
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