Pairs of partitions without repeated odd parts

被引：12
|
作者：
Chan, Song Heng [1 ]
Mao, Renrong [1 ]
机构：
[1] Nanyang Technol Univ, Div Math Sci, Sch Phys & Math Sci, Singapore 637371, Singapore
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 394卷 / 01期
关键词：
Overpartition pair; Rank generating function; q-series; OVERPARTITION PAIRS; CONGRUENCES; SERIES;
D O I：
10.1016/j.jmaa.2012.04.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove two identities related to overpartition pairs. One of them gives a generalization of an identity due to Lovejoy, which was used in a joint work by Bringmann and Lovejoy to derive congruences for overpartition pairs. We apply our two identities on pairs of partitions where each partition has no repeated odd parts. We also present three partition statistics that give combinatorial explanations to a congruence modulo 3 satisfied by these partition pairs. (c) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：408 / 415
页数：8
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