L-functions in Analytic Number Theory Seminar: Hung Bui
Event Recap
A recording of this event is available on mathtube.org.
Topic
Mean values of Hardy's Z-function and weak Gram's laws
Speakers
Details
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.