On partitions classified by smallest missing part

被引：0

作者：

Yuefei Shen

机构：

[1] Pennsylvania State University University Park,Penn State College

来源：

The Ramanujan Journal | 2019年 / 49卷

关键词：

Partitions; Combinatorics; 11P82;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study partitions classified by its smallest missing part. Our main theorem is an inequality related to the parity of the smallest missing part of partitions. We also prove the positivity of the coefficients in the generating function of cubic partition and use the main theorem for a partial proof. Finally we elaborate the connection between our main result and the concatenatable spiral, self-avoiding walks.

引用

页码：411 / 419

页数：8

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