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Title:
Probabilistic techniques in number theory - Lecture 1

Speaker:
Emma Bailey

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.

Link:
https://mathtube.org/lecture/video/probabilistic-techniques-number-theory-lecture-1

Workshop:
Mathtube- 2024 CRM-PIMS Summer School in Probability