时间：2023年12月13日（星期三）14:00-15:00
地点：西湖大学云谷校区E4-233 & ZOOM
ZOOM ID:992 9260 7327
密码：313936
主讲人：西安交通大学，郗平
报告题目：Amplifications in Analytic Number Theory
报告摘要：The idea of amplifications, dating back at least to van der Corput, Vinogradov, Kloosterman and Selberg, is quite elementary in the sense that one embeds the object of interests into a suitable family, and the individual information can be reflected on average. Such observations turns out to be very powerful in the developments of sieve methods, estimates for oscillatory sums (exponential and character sums) and L-function theory. In this talk, we aim to give a short survey on the underlying ideas, and some recent applications to the above three typical objects will also be discussed.
