Infinite families of congruences for l-regular partition functions

被引：0

作者：

Iwata, Nobuyuki ^{[1
]}

机构：

[1] Tokyo Univ Sci, 1-3 Kagurazaka Shinjuku Ku, Tokyo 1628601, Japan

来源：

RESEARCH IN NUMBER THEORY | 2023年 / 9卷 / 03期

关键词：

Regular partitions; Congruences; Dedekind's eta-function; Modular forms;

D O I：

10.1007/s40993-020-00227-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let b(l)(n) denote the number of l-regular partitions of n, and b(l)' (n) denote the number of l-regular partitions of n into distinct parts. In this paper we prove some infinite families of new congruences for b(l)(n) and b(l)'(n).

引用

页数：14

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