Overpartition pairs

被引:20
|
作者
Lovejoy, Jeremy [1 ]
机构
[1] Univ Paris 07, CNRS, LIAFA, F-75251 Paris 05, France
关键词
partitions; overpartitions; basic hypergeometric series; Bailey chains;
D O I
10.5802/aif.2199
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An overpartition pair is a combinatorial object associated with the q-Gauss identity and the (1)psi(1) summation. In this paper, we prove identities for certain restricted overpartition pairs using Andrews' theory of recurrences for well-poised basic hypergeometric series and the theory of Bailey chains.
引用
收藏
页码:781 / 794
页数:14
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