Zeev Rudnick: Beyond uniform distribution (NTWS 116)
Channel: Number Theory Web Seminar
Date: 2023-09-02

Abstract: The study of uniform distribution of sequences is more than a century old, with pioneering work by Hardy and Littlewood, Weyl, van der Corput and others. More recently, the focus of research has shifted to much finer quantities, such as the distribution of nearest neighbor gaps and the pair correlation function. Examples of interesting sequences for which these quantities have been studied include the zeros of the Riemann zeta function, energy levels of quantum systems, and more. In this expository talk, I will discuss what is known about these examples and discuss the many outstanding problems that this theory has to offer.

Link to slides: https://drive.google.com/file/d/1jMkNZWNQpR99MTkAGqdPWuCyUpuSiXyc

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date: 
Thursday, February 10, 2022 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Daylight Time, 9:30pm Indian Standard Time)
Friday, February 11, 2022 (12am CST, 3am AEDT, 5am NZDT)