涉及无穷积的赫克型数列

IF 1 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2024-04-02 DOI:10.1016/j.ejc.2024.103959

Bing He

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引用次数: 0

摘要

本文研究涉及无穷积的 Hecke 型数列。特别是，我们建立了一些涉及无穷积的 Hecke 型数列，然后得到了这些数列的截断版本以及其他一些已知此类数列的截断形式。最后，作为应用，我们推导出了各种分割函数的六个无限不等式族。我们对主要结果的证明在很大程度上依赖于 Liu（2013）著作中的一个公式。

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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Hecke-type series involving infinite products

In this paper, we study Hecke-type series involving infinite products. In particular, we establish some Hecke-type series involving infinite products and then obtain truncated versions of these series as well as truncated forms of some other known series of such types. Finally, as an application, we deduce six infinite families of inequalities for various partition functions. Our proofs of the main results heavily rely on a formula from the work of Liu (2013).

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来源期刊

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.