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.

Riemann假设是纯粹的数学中著名的未解决的问题，其历史可以追溯到1859年。其动机是为质数的数量提供精确的数量，最多可达到大量数量。在现代，Riemann假设被认为是几乎每个计数问题的基本结构的许多类似问题之一。为了刺激此问题的进展，将于2018年6月4日至7日在布里斯托大学举行三天半的会议，最多140名参与者。会议期间将有大约15次讲座，并且会有时间讨论有前途的途径。 重要的是，美国的研究人员参加本次会议；特别是鼓励来自代表性不足的团体的最近的博士学位获得者和研究人员申请参加。该奖项将有助于支持这一特定的努力。 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.从字面上看，已经尝试了数十种方法。这次会议的预期结果是，各种具有相似性的方法将被分组在一起，以便更好地评估其可行性。这样，将重点范围缩小到一些更有前途的途径。