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

被引：0
作者：
Chris Jennings-Shaffer
机构：
[1] Oregon State University,Department of Mathematics
来源：
Annals of Combinatorics | 2017年 / 21卷
关键词：
number theory; partitions; vector partitions; congruences; Bailey pairs; 11P81; 11P83;
D O I：
暂无
中图分类号：
学科分类号：
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：46
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