用不同幂的和表示

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-05-27 DOI:10.1515/crelle-2021-0048

Jianya Liu, Lilu Zhao

引用次数: 5

摘要

摘要证明了所有足够大的整数n都可以表示为n=x12+x23+⋯+x1314,n=x_{1}^{2}+x_{2} +\cdots+x_{13}^{14}，其中x1，…，x13{x_{1}，\ldots,x_{13}}是正整数。这改进了当前记录，将13个变量替换为14个。

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Representation by sums of unlike powers

Abstract It is proved that all sufficiently large integers n can be represented as n=x12+x23+⋯+x1314,n=x_{1}^{2}+x_{2}^{3}+\cdots+x_{13}^{14}, where x1,…,x13{x_{1},\ldots,x_{13}} are positive integers. This improves upon the current record with fourteen variables in place of thirteen.

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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.