题目：A pair correlation problem and counting lattice points via the zeta function

主讲人：Daniel El-Baz（Graz University of Technology）

摘要：The pair correlation function is a local measure of the randomness of a sequence. The behaviour of the pair correlation of sequences of the form ({a_n alpha}) for almost every real number alpha where (a_n) is a sequence of integers is by now relatively well-understood. In particular, a connection to additive combinatorics was made by relating that behaviour to the additive energy of the sequence (a_n).

Zeev Rudnick and Niclas Technau have recently started investigating the case of (a_n) being a sequence of real numbers. This talk is based on joint work in progress with Christoph Aistleitner and Marc Munsch in which we pursue this line of research.

时间：2020年9月8日，14:00-15:00

地点：腾讯会议，会议ID：995 338 269

邀请人：黄炳荣