On the distribution of powered numbers

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-22 DOI:10.1515/math-2024-0007

Jörg Brüdern, Olivier Robert

引用次数: 0

Abstract

Asymptotic formulae are established for the number of natural numbers

with largest square-free divisor not exceeding

m ϑ

{m}^{{\vartheta }}

, for any fixed positive parameter

{\vartheta }

. Related counting functions are also considered.

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关于有动力数字的分布

建立了最大无平方除数不超过 m ϑ {m}^{\vartheta }} 的自然数 m m 个数的渐近公式。对于任意固定正参数 ϑ {\vartheta }. .还考虑了相关的计数函数。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.