Structural theorems on the distance sets over finite fields
Author:
Affiliation:
1. Department of Mathematics , Chungbuk National University , Cheongju-si , Korea
2. Department of Mathematics , University of Rochester , Rochester , USA
3. University of Science , Vietnam National University , Hanoi , Vietnam
Abstract
Funder
National Research Foundation of Korea
National Foundation for Science and Technology Development
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,General Mathematics
Link
https://www.degruyter.com/document/doi/10.1515/forum-2022-0140/pdf
Reference18 articles.
1. J. Chapman, M. B. Erdoğan, D. Hart, A. Iosevich and D. Koh, Pinned distance sets, 𝑘-simplices, Wolff’s exponent in finite fields and sum-product estimates, Math. Z. 271 (2012), no. 1–2, 63–93.
2. X. Du, L. Guth, Y. Ou, H. Wang, B. Wilson and R. Zhang, Weighted restriction estimates and application to Falconer distance set problem, Amer. J. Math. 143 (2021), no. 1, 175–211.
3. X. Du, A. Iosevich, Y. Ou, H. Wang and R. Zhang, An improved result for Falconer’s distance set problem in even dimensions, Math. Ann. 380 (2021), no. 3–4, 1215–1231.
4. X. Du and R. Zhang, Sharp L 2 L^{2} estimates of the Schrödinger maximal function in higher dimensions, Ann. of Math. (2) 189 (2019), no. 3, 837–861.
5. L. Guth, A. Iosevich, Y. Ou and H. Wang, On Falconer’s distance set problem in the plane, Invent. Math. 219 (2020), no. 3, 779–830.
Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Distribution of pinned distance trees in the plane Fp2;Discrete Mathematics;2023-12
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3