MacMahon's partition analysis XIV: Partitions with n copies of n

IF 0.9 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2023-11-28 DOI:10.1016/j.jcta.2023.105836

George E. Andrews , Peter Paule

引用次数: 0

Abstract

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.

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MacMahon分区分析XIV: n个副本的分区

我们将划分分析的方法应用于n个副本的划分。这允许我们获得与经典Rogers-Ramanujan类型恒等式相关的多变量生成函数。此外，具有n个副本的分区被扩展到分区菱形，产生了许多新的结果，包括与过度分区的自然联系和各种分区同余。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.