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Probabilistic techniques in number theory - Lecture 1

Speaker: Emma Bailey

Date: Mon, Jul 8, 2024

Location: CRM, Montreal

Conference: 2024 CRM-PIMS Summer School in Probability

Subject: Mathematics, Probability

Class: Scientific

Abstract:

In this mini-course I will cover some classical theorems from probabilistic number theory, and then discuss some recent developments in the distribution of values of L-functions (focussing on the simplest L-function: the Riemann zeta function). I will emphasise surprising connections to random matrix theory. Many of these ideas can be visualised numerically, giving the course a computational flavour as well.

Additional Files:
PDF icon Bailey.pdf