AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (239.2 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Partitions into three generalized D. H. Lehmer numbers

Mingxuan Zhong1, Tianping Zhang1,2( )
School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, Shaanxi, China
Research Center for Number Theory and Its Applications, Northwest University, Xi'an 710127, Shaanxi, China
Show Author Information

Abstract

In this paper, we derived that a sufficiently large integer N can always be represented as the sum of three generalized D. H. Lehmer numbers. As a consequence, we deduced Lu and Yi's original result (Monatsh. Math., 159 (2010), 45–58).

Keywords

D. H. Lehmer numbercircle methodexponential sumsBombieri-Weil bound
CLC number: 11P55, 11L05

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 2,
February 2024
Pages 4021-4031
DOI: 10.3934/math.2024196

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Zhong M, Zhang T. Partitions into three generalized D. H. Lehmer numbers. AIMS Mathematics, 2024, 9(2): 4021-4031. https://doi.org/10.3934/math.2024196

1

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 14 September 2023
Revised: 19 November 2023
Accepted: 29 November 2023
Published: 15 February 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)