On certain weighted 7-colored partitions

被引：0
|
作者：
Shane Chern
Dazhao Tang
机构：
[1] The Pennsylvania State University,Department of Mathematics
[2] Chongqing University,College of Mathematics and Statistics
来源：
The Ramanujan Journal | 2019年 / 48卷
关键词：
Weighted 7-colored partition; Ramanujan-type congruence; Unified multirank; Vector crank; 05A17; 11P83; 05A30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Inspired by Andrews’ 2-colored generalized Frobenius partitions, we consider certain weighted 7-colored partition functions and establish some interesting Ramanujan-type identities and congruences. Moreover, we provide combinatorial interpretations of some congruences modulo 5 and 7. Finally, we study the properties of weighted 7-colored partitions weighted by the parity of certain partition statistics.
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页码：305 / 322
页数：17
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