A proof of conjectured partition identities of Nandi

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2024-03-29 DOI:10.1353/ajm.2024.a923238

Motoki Takigiku, Shunsuke Tsuchioka

引用次数: 0

Abstract

abstract:

We generalize the theory of linked partition ideals due to Andrews using finite automata in formal language theory and apply it to prove three Rogers--Ramanujan type identities for modulus 14 that were posed by Nandi through a vertex operator theoretic construction of the level 4 standard modules of the affine Lie algebra $A^{(2)}_{2}$.

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南迪分区特性猜想的证明

摘要:我们利用形式语言理论中的有限自动机概括了安德鲁斯（Andrews）提出的联结分区理想理论，并将其应用于证明南迪（Nandi）通过仿射李代数 $A^{(2)}_{2}$ 的第 4 层标准模块的顶点算子理论构造而提出的模 14 的三个罗杰斯--拉马努扬类型同调。

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

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.