Congruences modulo p2 and p3 for k dots bracelet partitions with k = mps

被引：3
|
作者：
Baruah, Nayandeep Deka [1 ]
Ahmed, Zakir [1 ]
机构：
[1] Tezpur Univ, Dept Math Sci, Sonitpur 784028, Assam, India
来源：
JOURNAL OF NUMBER THEORY | 2015年 / 151卷
关键词：
k Dots bracelet partitions; t-Core partitions; Partition congruences; IDENTITIES;
D O I：
10.1016/j.jnt.2014.12.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find several new congruences modulo 2 for 11 dots bracelet partitions and congruences modulo p(2) and p(3) for k dots bracelet partitions for any prime p > 3 and k = mp(s) with s >= 2 and s >= 3, respectively. We also find a relation between 5-core partitions and Ramanujan's famous tau function tau(n) and several new congruences modulo 9 and 25 for 3- and 5-core partitions, respectively. (C) 2015 Elsevier Inc. All rights reserved.
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页码：129 / 146
页数：18
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