论文标题

截短的theta系列和分区分为不同的部分

Truncated theta series and partitions into distinct parts

论文作者

Merca, Mircea

论文摘要

涉及Euler分区功能的线性不平等$ p(n)$一直是最近研究的主题。在本文中,我们考虑分区函数$ q(n)$将$ n $的分区计入不同的零件。使用截短的theta系列,我们为这些结果提供了四个无限的线性不平等家庭和分区理论解释。

Linear inequalities involving Euler's partition function $p(n)$ have been the subject of recent studies. In this article, we consider the partition function $Q(n)$ counting the partitions of $n$ into distinct parts. Using truncated theta series, we provide four infinite families of linear inequalities for $Q(n)$ and partition theoretic interpretations for these results.

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