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

被引：2
|
作者：
Andrews, George E. [1 ]
Paule, Peter [2 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] Johannes Kepler Univ Linz, Res Inst Symbol Computat RISC, A-4040 Linz, Austria
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 2024年 / 203卷
基金：
奥地利科学基金会;
关键词：
Partitions; Overpartitions; Partitions with n copies of n; Partition analysis; q-series; Modular forms and partition; congruences; Radu's Ramanujan-Kolb erg; algorithm; RAMANUJAN; IDENTITIES;
D O I：
10.1016/j.jcta.2023.105836
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (c) 2023 Elsevier Inc. All rights reserved.
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页数：34
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