Congruences for partition functions related to mock theta functions

被引：2
|
作者：
Chern, Shane [1 ]
Hao, Li-Jun [2 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] Nankai Univ, Ctr Combinator, LPMC, Tianjin 300071, Peoples R China
来源：
RAMANUJAN JOURNAL | 2019年 / 48卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Partition; t-Core partition; Cubic partition; Mock theta function; Ramanujan-type congruence; CUBIC CONTINUED-FRACTION; IDENTITIES; ANALOG;
D O I：
10.1007/s11139-017-9979-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Partitions associated with mock theta functions have received a great deal of attention in the literature. Recently, Choi and Kim derived several partition identities from the third- and sixth-order mock theta functions. In addition, three Ramanujan-type congruences were established by them. In this paper, we present some new congruences for these partition functions.
引用
收藏
页码：369 / 384
页数：16
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