Some inequalities for k-colored partition functions

被引：19

作者：

Chern, Shane ^{[1
]}

Fu, Shishuo ^{[2
]}

Tang, Dazhao ^{[3
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Chongqing Univ, Coll Math & Stat, Huxi Campus LD506, Chongqing 401331, Peoples R China

[3] Chongqing Univ, Coll Math & Stat, Huxi Campus LD206, Chongqing 401331, Peoples R China

来源：

RAMANUJAN JOURNAL | 2018年 / 46卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Partition; Partition inequality; Multiplicative property; MULTIPLICATIVE PROPERTIES;

D O I：

10.1007/s11139-017-9989-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by a partition inequality of Bessenrodt and Ono, we obtain analogous inequalities for k-colored partition functions for all . This enables us to extend the k-colored partition function multiplicatively to a function on k-colored partitions and characterize when it has a unique maximum. We conclude with one conjectural inequality that strengthens our results.

引用

页码：713 / 725

页数：13

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