Arithmetic properties of bipartitions with even parts distinct

被引：0
作者：
Bernard L. S. Lin
机构：
[1] Jimei University,School of Sciences
来源：
The Ramanujan Journal | 2014年 / 33卷
关键词：
Congruence; Bipartition; Distinct even parts; Generating function; Modular forms; 05A17; 11P83;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we consider various arithmetic properties of the function ped−2(n) that denotes the number of bipartitions of n with even parts distinct. We prove two infinite families of congruences for p−2(n) modulo 3. We also give characterizations of ped−2(n) modulo 2 and 4. Furthermore, for a fixed positive integer k, we show that ped−2(n) is divisible by 2k for almost all n.
引用
收藏
页码：269 / 279
页数：10
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