Negative moments of the Riemann zeta-function
Speaker: Alexandra Florea
Date: Mon, Dec 5, 2022
Location: PIMS, University of Lethbridge, Zoom, Online
Conference: Lethbridge Number Theory and Combinatorics Seminar
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Date: Mon, Dec 5, 2022
Location: PIMS, University of Lethbridge, Zoom, Online
Conference: Lethbridge Number Theory and Combinatorics Seminar
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Abstract:
Alexandra Florea (University of California Irvine, USA)
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.
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