Maximal Multiplicative Properties of Partitions

被引：34
|
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
收藏
页码：59 / 64
页数：6
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