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

共 50 条

[41] ON THE PARABOLIC PARTITIONS OF A NUMBER
de Vega, F. Javier
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2023, 61 (02): : 135 - 169
[42] On the Number of Birch Partitions
Hell, Stephan
DISCRETE & COMPUTATIONAL GEOMETRY, 2008, 40 (04) : 586 - 594
[43] On the number of partitions into primes
Vaughan, R. C.
RAMANUJAN JOURNAL, 2008, 15 (01): : 109 - 121
[44] NUMBER OF PARTITIONS OF SET
ROTA, GC
AMERICAN MATHEMATICAL MONTHLY, 1964, 71 (05): : 498 - +
[45] On the number of separable partitions
Frank K. Hwang
Uriel G. Rothblum
Journal of Combinatorial Optimization, 2011, 21 : 423 - 433
[46] On the number of partitions into primes
R. C. Vaughan
The Ramanujan Journal, 2008, 15 : 109 - 121
[47] Congruences for the number of 4-tuple partitions with distinct even parts
Dai, Haobo
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (08) : 2037 - 2043
[48] Congruences for the number of k-tuple partitions with distinct even parts
Chen, Shi-Chao
DISCRETE MATHEMATICS, 2013, 313 (15) : 1565 - 1568
[49] ON THE NUMBER OF DISTINCT MINIMAL CLIQUE PARTITIONS AND CLIQUE COVERS OF A LINE GRAPH
MCGUINNESS, S
REES, R
DISCRETE MATHEMATICS, 1990, 83 (01) : 49 - 62
[50] Additive evaluations of the number of divisors
Merca, Mircea
RAMANUJAN JOURNAL, 2024, 63 (03): : 583 - 601

← 1 2 3 4 5 →