Arithmetic properties of bipartitions with even parts distinct

被引：22

作者：

Lin, Bernard L. S. ^{[1
]}

机构：

[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China

来源：

RAMANUJAN JOURNAL | 2014年 / 33卷 / 02期

基金：

美国国家科学基金会;

关键词：

Congruence; Bipartition; Distinct even parts; Generating function; Modular forms; CUBIC CONTINUED-FRACTION; OVERPARTITION PAIRS; PARTITION-FUNCTION; CONGRUENCES; ANALOG;

D O I：

10.1007/s11139-013-9473-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 2 (k) for almost all n.

引用

页码：269 / 279

页数：11

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