The number of smallest parts in the partitions of n

被引：99

作者：

Andrews, George E. ^{[1
]}

机构：

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

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2008年 / 624卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1515/CRELLE.2008.083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We denote by sptd(n) the total number of appearances of the smallest part in each integer partition of n. We shall relate sptd(n) to the Atkin-Garvan moments of ranks, and we shall prove that 5 vertical bar spt(5n + 4), 7 vertical bar spt(7n + 5) and 13 vertical bar spt(13n + 6).

引用

页码：133 / 142

页数：10

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