Congruences for cubic partition pairs modulo powers of 3

被引：3
|
作者：
Lin, Bernard L. S. [1 ]
Wang, Liuquan [2 ]
Xia, Ernest X. W. [3 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
[3] Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
RAMANUJAN JOURNAL | 2018年 / 46卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Cubic partition pairs; Congruences; Ramanujan's cubic continued fraction; CONTINUED-FRACTION; IDENTITIES; RAMANUJAN; ANALOG;
D O I：
10.1007/s11139-017-9955-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let b(n) be the number of cubic partition pairs of n. We establish three congruences for b(n) modulo arbitrary powers of 3. Meanwhile, we prove some conjectures proposed by the first author.
引用
收藏
页码：563 / 578
页数：16
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