Partition identities related to the minimal excludant

被引：5
|
作者：
Kang, Jiayu [1 ]
Li, Runqiao [2 ]
Wang, Andrew Y. Z. [3 ]
机构：
[1] Shanxi Inst Technol, Dept Fundamental Courses, Yangquan 045000, Peoples R China
[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
来源：
DISCRETE MATHEMATICS | 2023年 / 346卷 / 04期
关键词：
Minimal excludant; Euler?s partition identity; Heine transformation;
D O I：
10.1016/j.disc.2022.113302
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we study the newer statistic "minimal excludant" for integer partitions, and obtain several interesting partition identities. In particular, we find a new and simple refinement of Euler's celebrated partition identity. As an unexpected byproduct of this work, we establish a bivariate form of Ramanujan's special theta function y)(q).(c) 2022 Elsevier B.V. All rights reserved.
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页数：12
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