Andrews–Gordon Type Series for Kanade–Russell Conjectures

被引：0
|
作者：
Kağan Kurşungöz
机构：
[1] Sabancı University,Faculty of Engineering and Natural Sciences
来源：
Annals of Combinatorics | 2019年 / 23卷
关键词：
Partition generating function; Andrews–Gordon identities; Kanade–Russell conjectures; 05A17; 05A15; 11P84;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct Andrews–Gordon type positive series as generating functions of partitions satisfying certain difference conditions in six conjectures by Kanade and Russell. Thus, we obtain q-series conjectures as companions to Kanade and Russell’s combinatorial conjectures. We construct generating functions for missing partition enumerants as well, without claiming new partition identities.
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页码：835 / 888
页数：53
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