Algebra/Number Theory Seminar

Negative moments of the Riemann zeta-function

Alexandra Florea, U California Irvine

Wednesday, February 8th, 2023
3:45 PM - 4:45 PM
Hylan 1106A

I will talk about recent work towards a conjecture of Gonek regarding negative shifted moments of the Riemann zeta-function. I will explain how to obtain asymptotic formulas when the shift in the Riemann zeta function is big enough, and how we can obtain non-trivial upper bounds for smaller shifts. I will also discuss some applications to the question of obtaining cancellation of averages of the Mobius function. Joint work with H. Bui.

Event contact: dinesh dot thakur at rochester dot edu