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乘法互补，II.

IF 0.6 3区 数学 Q3 MATHEMATICS
Journal of Number Theory Pub Date : 2024-06-25 DOI:10.1016/j.jnt.2024.05.014
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引用次数: 0

摘要

在本文中，我们证明如果 和 是正整数的无限子集，使得每个正整数都可以写成 ， ， ， 那么 。我们提出了一些与乘法互补相关的紧密密度界值。
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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Multiplicative complements, II.

In this paper we prove that if A and B are infinite subsets of positive integers such that every positive integer n can be written as n=ab, a∈A, b∈B, then limx→∞⁡A(x)B(x)x=∞. We present some tight density bounds in connection with multiplicative complements.

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来源期刊
Journal of Number Theory
Journal of Number Theory 数学-数学
CiteScore
1.30
自引率
14.30%
发文量
122
审稿时长
16 weeks
期刊介绍： The Journal of Number Theory (JNT) features selected research articles that represent the broad spectrum of interest in contemporary number theory and allied areas. A valuable resource for mathematicians, the journal provides an international forum for the publication of original research in this field. The Journal of Number Theory is encouraging submissions of quality, long articles where most or all of the technical details are included. The journal now considers and welcomes also papers in Computational Number Theory. Starting in May 2019, JNT will have a new format with 3 sections: JNT Prime targets (possibly very long with complete proofs) high impact papers. Articles published in this section will be granted 1 year promotional open access. JNT General Section is for shorter papers. We particularly encourage submission from junior researchers. Every attempt will be made to expedite the review process for such submissions. Computational JNT . This section aims to provide a forum to disseminate contributions which make significant use of computer calculations to derive novel number theoretic results. There will be an online repository where supplementary codes and data can be stored.
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