Even-odd partition identities of Rogers-Ramanujan type

被引：3

作者：

Afsharijoo, Pooneh ^{[1
]}

机构：

[1] Univ Paris Diderot, Paris, France

来源：

RAMANUJAN JOURNAL | 2022年 / 57卷 / 03期

关键词：

Integer partitions; Partition identities; Rogers-Ramanujan identities;

D O I：

10.1007/s11139-021-00470-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a theorem which adds a new companion to the Rogers-Ramanujan identities. This new companion counts partitions with different type of constraints on even and odd parts. Generalizing this theorem, we obtain two families of partition identities.

引用

页码：969 / 979

页数：11