On the Number of Even Parts in All Partitions of n into Distinct Parts

被引：0

作者：

Andrews, George E. ^{[1
]}

Merca, Mircea ^{[2
]}

机构：

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

[2] Acad Romanian Scientists, Ilfov 3,Sect 5, Bucharest, Romania

来源：

ANNALS OF COMBINATORICS | 2020年 / 24卷 / 01期

关键词：

Combinatorial identity; Euler's partition identity; Partitions;

D O I：

10.1007/s00026-019-00479-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A famous theorem of Euler asserts that there are as many partitions of n into distinct parts as there are partitions into odd parts. The even parts in partitions of n into distinct parts play an important role in the Euler-Glaisher bijective proof of this result. In this paper, we investigate the number of even parts in all partitions of n into distinct parts providing new combinatorial interpretations for this number.

引用

页码：47 / 54

页数：8

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