Mean values of Hardy's Z-function and weak Gram's laws
Speaker: Hung M. Bui
Date: Tue, Nov 19, 2024
Location: PIMS, University of Northern British Columbia, Zoom, Online
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Date: Tue, Nov 19, 2024
Location: PIMS, University of Northern British Columbia, Zoom, Online
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Abstract:
We establish the fourth moments of the real and imaginary parts of the Riemann zeta-function, as well as the fourth power mean value of Hardy's Z-function at the Gram points. We also study two weak versions of Gram's law. We show that those weak Gram's laws hold a positive proportion of time. This is joint work with Richard Hall.
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