Reciprocity between partitions and compositions

被引：0

作者：

Beck, George ^{[1
,2
]}

Chern, Shane ^{[1
]}

机构：

[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 4R2, Canada

[2] Wolfram Res Inc, Champaign, IL 61820 USA

来源：

RAMANUJAN JOURNAL | 2022年 / 59卷 / 03期

关键词：

Partitions; Compositions; Reciprocity;

D O I：

10.1007/s11139-021-00541-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend the work of Andrews, Beck and Hopkins by considering partitions and compositions with bounded gaps between each pair of consecutive parts. We show that both their generating functions and two matrices determined by them satisfy certain reciprocal relations.

引用

页码：803 / 812

页数：10

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