Maximal Multiplicative Properties of Partitions

被引：36

作者：

Bessenrodt, Christine ^{[1
]}

Ono, Ken ^{[2
]}

机构：

[1] Leibniz Univ Hannover, Fac Math & Phys, Welfengarten 1, D-30167 Hannover, Germany

[2] Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA

来源：

ANNALS OF COMBINATORICS | 2016年 / 20卷 / 01期

关键词：

partitions; partition function;

D O I：

10.1007/s00026-015-0289-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Extending the partition function multiplicatively to a function on partitions, we show that it has a unique maximum at an explicitly given partition for any n not equal 7. The basis for this is an inequality for the partition function which seems not to have been noticed before.

引用

页码：59 / 64

页数：6