Abstract: I will give an introduction to random multiplicative functions and their connections to the statistical behaviour of Riemann zeta function on the critical line. In particular, I will explain a simplified proof of Nelson's conjecture/Harper's theorem concerning the phenomenon of better than square-root cancellation, and also discuss the asymptotic distribution of partial sums of twisted multiplicative functions. This is based on ongoing projects with Ofir Gorodetsky.
Random multiplicative functions and the Riemann zeta function
11.03.2024 15:45 - 16:45
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli, E. Schertzer
Location:
TU Wien, Gußhausstraße 25-25a, 2nd floor, EI 2 Pichelmayer HS