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).
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页数：14
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