On some open questions in number theory: from the perspective of moments

Abstract: Many questions in number theory can be phrased loosely in the following terms: “how often can this function take large values?” We will talk about some open questions in number theory where we want to show that the answer is “never.” In particular, we will discuss some interesting situations where we can upgrade information that a function “rarely takes large values” to information that it “never takes large values.” This perspective allows us to see some new connections between open conjectures in number theory.

Mathematics

Audience: researchers in the topic

Royal Holloway CANTA-Launch