On the number of partitions of a number into distinct divisors

被引：0

作者：

Lebowitz-Lockard, Noah ^{[1
]}

Vandehey, Joseph ^{[2
]}

机构：

[1] 8330 Millman St, Philadelphia, PA 19118 USA

[2] Univ Texas Tyler, Dept Math, 3900 Univ Blvd, Tyler, TX 75799 USA

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2024年 / 30卷 / 03期

关键词：

Partitions; Distinct divisors; Asymptotics;

D O I：

10.7546/nntdm.2024.30.3.654-661

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p dsd ( n ) be the number of partitions of n into distinct squarefree divisors of n . In this note, we find a lower bound for p dsd ( n ) , as well as a sequence of n for which p dsd ( n ) is unusually large.

引用

页码：654 / 661

页数：8

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