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
Date & time
Date/time
20 Mar 2025 4:00pm - 20 Mar 2025 5:00pm
Speaker
Speakers
Peter Humphries (University of Virginia)
Event series
Event series
Contact
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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
-35.275389387895, 149.11926090717