Vitaly Bergelson: A "soft" dynamical approach to the Prime Number Theorem and  [...] (NTWS 073)
Channel: Number Theory Web Seminar
Date: 2023-08-06

Title: A "soft" dynamical approach to the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions

Abstract: We will discuss a new type of ergodic theorem which has among its corollaries numerous classical results from multiplicative number theory, including the Prime Number Theorem, a theorem of Pillai-Selberg and a theorem of Erdős-Delange. This ergodic approach leads to a new dynamical framework for a general form of Sarnak’s Möbius disjointness conjecture which focuses on the "joint independence" of actions of (N,+) and (N,×).
The talk is based on recent joint work with Florian Richter.

Link to slides: https://drive.google.com/file/d/1O2_41fcodmdVJvbh22xMAGt2lhCUsk_X

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

Original air date: 
Thursday, March 25, 2021 (1:30pm PDT, 4:30pm EDT, 8:30pm GMT, 9:30pm CET, 10:30pm Israel Standard Time)
Friday, March 26, 2021 (2am Indian Standard Time, 4:30am CST, 7:30am AEDT, 9:30am NZDT)