colloquium2025

Moments of the Riemann Zeta Function and Beyond

MSI Colloquium, where the school comes together for afternoon tea before one speaker gives an accessible talk on their subject

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20 Mar 2025 4:00pm - 20 Mar 2025 5:00pm
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Speakers

Peter Humphries (University of Virginia)
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Description

Abstract

The behaviour of the Riemann zeta function on the line Re(s) = 1/2 is intimately tied to the distribution of prime numbers. I will discuss some statistical properties of the Riemann zeta function on this line, such as its average size and its maximal size. Beyond what is known unconditionally, I will also mention some conjectural results, including some remarkable connections to random matrix theory.

Location

Room 1.33 (Seminar Room), Building 145, Science Road, ANU

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