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
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
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