Arithmetic of the 13-regular partition function modulo 3

被引：0

作者：

John J. Webb

机构：

[1] University of South Carolina,Department of Mathematics

来源：

The Ramanujan Journal | 2011年 / 25卷

关键词：

Regular partitions; Fourier coefficients of modular forms; 11P83;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let b13(n) denote the number of 13-regular partitions of n. We study in this paper the behavior of b13(n) modulo 3 where n≡1 (mod 3). In particular, we identify an infinite family of arithmetic progressions modulo arbitrary powers of 3 such that b13(n)≡0 (mod 3).

引用

页码：49 / 56

页数：7

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