Perspectives on the Riemann Hypothesis

黎曼假设可以追溯到1859年，是纯数学中一个著名的未解问题。它的动机是找到素数的精确计数，直到一个大的数量。在现代，黎曼假设被认为是关于数论中出现的几乎每一个计数问题的基本结构的一系列类似问题之一。为了刺激在这一问题上取得进展，2018年6月4日至7日将在布里斯托尔大学举行为期三天半的会议，最多140人参加。会议期间将有大约15场讲座，并安排时间讨论有希望的途径。美国的研究人员参加这次会议是很重要的，特别是最近的博士获得者和来自代表性不足群体的研究人员被鼓励申请参加。这一奖项将有助于支持这一特别努力。Ishttps://heilbronn.ac.uk/2017/08/08/perspectives-on-the-riemann-hypothesis/It会议的网站认为，黎曼假设的类比对于Selberg类中的每个L函数都成立，或者等价地对于某一类型的每个尖端自同构L函数都成立。从字面上看，已经尝试了几十种方法。本次会议的一个预期结果是，将把有相似之处的各种方法归类在一起，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。

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.