Perspectives on the Riemann Hypothesis

对黎曼猜想的看法

• 批准号: 1763338
• 负责人: John Conrey
• 金额: $ 2.5万
• 依托单位: American Institute of Mathematics
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1763338&HistoricalAwards=false
• 关键词: Perspectives; Riemann; Hypothesis

The Riemann Hypothesis is a celebrated unsolved problem in pure mathematics that dates back to 1859. Its motivation is to find a precise count for the number of prime numbers up to a large quantity. In modern times the Riemann Hypothesis is recognized as one of a host of similar problems about the underlying structure of nearly every counting problem that arises in number theory. In order to stimulate progress on this problem a three-and-a-half day conference will be held at the University of Bristol June 4 - 7, 2018 for up to 140 participants. There will be about 15 lectures during the meeting and there will be time scheduled for discussion of promising avenues. It is important that U.S. based researchers attend this meeting; especially recent PhD recipients and researchers from under-represented groups are encouraged to apply to attend. This award will help support that particular effort. The website for the conference ishttps://heilbronn.ac.uk/2017/08/08/perspectives-on-the-riemann-hypothesis/It is believed that the analogue of the Riemann Hypothesis should hold for every L-function in the Selberg Class, or equivalently for every cuspidal automorphic L-function of a certain type. There are literally dozens of approaches that have been tried. An expected outcome of this meeting is that various approaches with similarities will be grouped together in order to better assess their viability. In this way the focus will be narrowed to a few of the more promising avenues.

黎曼猜想（Riemann Hypothesis）是纯数学中一个著名的未解决的问题，可以追溯到1859年。它的动机是找到一个精确的计数素数的数量高达一个很大的数量。在现代，黎曼猜想被认为是数论中几乎所有计数问题的基本结构的一系列类似问题之一。为了促进这一问题的进展，将于2018年6月4日至7日在布里斯托大学举行为期三天半的会议，最多可有140名与会者参加。会议期间将有大约15个讲座，并将安排时间讨论有希望的途径。 重要的是，美国的研究人员参加这次会议;特别是最近的博士学位获得者和来自代表性不足的群体的研究人员被鼓励申请参加。这个奖项将有助于支持这一特殊的努力。 会议网址：httpps：heilbronn.ac.uk/2017/08/08/perspectives-on-the-riemann-hypothesis/It被认为黎曼假设的类似物应该对Selberg类中的每个L-函数成立，或者等价地对某种类型的每个尖点自守L-函数成立。实际上已经尝试了几十种方法。这次会议的一个预期成果是，将把具有相似性的各种办法集中在一起，以便更好地评估其可行性。这样，重点将缩小到几个更有希望的途径。