We apply the methods of partition analysis to partitions with n copies of n. This allows us to obtain multivariable generating functions related to classical Rogers-Ramanujan type identities. Also, partitions with n copies of n are extended to partition diamonds yielding numerous new results including a natural connection to overpartitions and a variety of partition congruences.

中文翻译：

---

麦克马洪的分区分析十四：有 n 个副本的分区

我们将分区分析方法应用于具有n 个n副本的分区。这使我们能够获得与经典罗杰斯-拉马努金类型恒等式相关的多变量生成函数。此外，具有n个n副本的分区被扩展到分区菱形，从而产生许多新结果，包括与过度分区的自然连接和各种分区同余。