Combinatorial proofs of two theorems related to the number of even parts in all partitions of n into distinct parts

被引：3

作者：

Ballantine, Cristina ^{[1
]}

Merca, Mircea ^{[2
]}

机构：

[1] Coll Holy Cross, Dept Math & Comp Sci, Worcester, MA 01610 USA

[2] Acad Romanian Scientists, Splaiul Independentei 54, Bucharest 050094, Romania

来源：

RAMANUJAN JOURNAL | 2021年 / 54卷 / 01期

关键词：

Partitions;

D O I：

10.1007/s11139-019-00184-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, Andrews and Merca considered the number of even parts in all partitions of n into distinct parts and obtained new combinatorial interpretations for this number. Their proofs rely on generating functions. In this paper, we provide purely combinatorial proofs of these results.

引用

页码：107 / 112

页数：6