Partitions according to multiplicities and part sizes

被引：0

作者：

Archibald, Margaret ^{[1
]}

Blecher, Aubrey ^{[1
]}

Brennan, Charlotte ^{[1
]}

Knopfmacher, Arnold ^{[1
]}

Mansour, Toufik ^{[2
]}

机构：

[1] Univ Witwatersrand, John Knopfmacher Ctr Applicable Anal & Number The, PO Wits, ZA-2050 Johannesburg, South Africa

[2] Univ Haifa, Dept Math, 199 Abba Khoushy Ave, IL-3498838 Haifa, Israel

来源：

AUSTRALASIAN JOURNAL OF COMBINATORICS | 2016年 / 66卷

基金：

新加坡国家研究基金会;

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the largest parts in integer partitions according to multiplicities and part sizes. Firstly we investigate various properties of the multiplicities of the largest parts. We then consider the sum of the m largest parts - first as distinct parts and then including multiplicities. Finally, we find the generating function for the sum of the m largest parts of a partition, i.e., the first m parts of a weakly decreasing sequence of parts.

引用

页码：104 / 119

页数：16

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