Two Partition Functions with Congruences Modulo 3,5,7, and 13

被引：0
|
作者：
Jennings-Shaffer, Chris [1 ]
机构：
[1] Oregon State Univ, Dept Math, Corvallis, OR 97331 USA
来源：
ANNALS OF COMBINATORICS | 2017年 / 21卷 / 03期
关键词：
number theory; partitions; vector partitions; congruences; Bailey pairs; RANK;
D O I：
10.1007/s00026-017-0359-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce two new integer partition functions, both of which are the number of partition quadruples of n with certain size restrictions. We prove both functions satisfy Ramanujan-type congruences modulo 3, 5, 7, and 13 by use of generalized Lambert series identities and q-series techniques.
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页码：397 / 443
页数：47
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