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Elementary, analytic, and algorithmic number theory: Research inspired by the mathematics of Carl Pomerance

Elementary, analytic, and algorithmic number theory: Research inspired by the mathematics of Carl Pomerance
初等数论、解析数论和算法数论:受 Carl Pomerance 数学启发的研究
批准号:
1502336
负责人:
Paul Pollack
金额:
$1.97万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2015
资助国家:
美国
项目状态:
已结题
起止时间:
2015-06-01 至 2016-05-31

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中文摘要
翻译
“初等、解析和算法数论:卡尔·波美朗斯数学启发下的研究”会议将于2015年6月9日至11日在佐治亚州雅典的佐治亚大学举行。这次会议的重点是数论的三个子领域:初等数论(研究自然数的基本性质)、解析数论(从统计角度研究这些问题)和算法数论(研究计算机如何帮助回答数论问题)。数学的这三个领域是高度相互联系的,一个领域的结果往往源于另一个领域的进步。虽然这些领域的想法具有基本的理论重要性,但它们也在纯数学之外找到了许多应用,数字安全就是一个突出的例子。会议将包括6个小时的全体演讲和14个由这些领域的专家应邀进行的30分钟的演讲。会谈将突出这些领域的研究现状,并提请注意中心的公开问题。6月8日,也就是主要会议活动开始的前一天,组织者将举办一个特别的青年研究人员讲座日。这里的目标是让有前途的数学家有更高的知名度,并鼓励思想的交流--既有垂直的(学生、初级教师和世界级的研究人员),也有横向的(不同数论领域的研究人员)。有关更多信息,请参阅会议网站:http://www.math.uga.edu/~cp70/CP70/Home.html
英文摘要
The conference "Elementary, analytic, and algorithmic number theory: Research inspired by the mathematics of Carl Pomerance" will be held June 9-11, 2015 at the University of Georgia in Athens, GA. The focus of this meeting is on three subfields of number theory: elementary number theory (which studies the basic properties of the natural numbers), analytic number theory (which takes a statistical perspective on these questions), and algorithmic number theory (which investigates how computers can be of assistance in answering number-theoretic questions). These three areas of mathematics are highly interconnected, with results in one area often stemming from progress in the other. While of fundamental theoretical importance, ideas from these fields have also found numerous applications outside of pure mathematics, digital security being a prominent example.The conference will feature six hour-long plenary talks and fourteen invited 30-minute talks by experts in these fields. The talks will highlight the current state of research in these fields and draw attention to the central open problems. On June 8, the day prior the start of the main conference activities, the organizers will host a special day of talks by young researchers. The goal here is to give visibility to up and coming mathematicians and to encourage interchange of ideas - both vertically (among students, junior faculty, and world-class researchers) and horizontally (among researchers in different fields of number theory).For more information see the conference web-site: http://www.math.uga.edu/~cp70/CP70/Home.html
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会议论文
Statistical Questions in Number Theory and Arithmetic Geometry
Statistical problems in elementary, analytic, and algebraic number theory
PostDoctoral Research Fellowship
  • 批准号:
    0802970
  • 项目类别:
    Fellowship
  • 资助金额:
    $0.0万
  • 财政年份:
    2008
  • 负责人:
    Paul Pollack
  • 依托单位:
海外基金