Time：14:00-15:00, Wednesday, December 13 2023
Venue：E4-233 & ZOOM
ZOOM ID: 992 9260 7327
Passcode：313936
Speaker：Ping Xi,Xi'an Jiaotong University
Title：Amplifications in Analytic Number Theory
Abstract：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.
