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 Electronic Research Archive Article
PDF (545.5 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

The short interval results for power moments of the Riesz mean error term

Jing Huang( ), Qian Wang, Rui Zhang
School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, Shandong, China
Show Author Information

Abstract

Let Δ 1 ( x ; φ ) denote the error term in the classical Rankin-Selberg problem. In this paper, our main results are getting the k-th ( 3 ≤ k ≤ 5 ) power moments of Δ 1 ( x ; φ ) in short intervals and its asymptotic formula by using large value arguments.

Keywords

the Rankin-Selberg problempower momentintegral mean valueVoronoï formula

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 31 Issue 9,
September 2023
Pages 5917-5927
DOI: 10.3934/era.2023300

{{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:
Huang J, Wang Q, Zhang R. The short interval results for power moments of the Riesz mean error term. Electronic Research Archive, 2023, 31(9): 5917-5927. https://doi.org/10.3934/era.2023300

9

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 01 March 2023
Revised: 26 June 2023
Accepted: 09 August 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

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