雅可比乘积公式在整数划分上的一个应用
An Application of Jacobi Triple Product Identity in Integer Partition Theory
摘要: 利用雅可比三重积公式和和欧拉公式，计算了五边形数和六边形数相关的一些无穷乘积和无穷级数。给出了一个关于两种整数划分具有相同个数的结果。
Abstract: Using Jacobi triple product identity and an Euler identity, some infinite products and series about pentagonal and hexagonal numbers are given. A result about two kinds of partition numbers is given.
文章引用：马万里. 雅可比乘积公式在整数划分上的一个应用[J]. 理论数学, 2022, 12(1): 41-46. https://doi.org/10.12677/PM.2022.121006

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