# Aleksandar Ivic

Affiliation: Serbian Academy of Sciences

Email: ivic@rgf.bg.ac.rs; aivic_2000@yahoo.com

Title Of Talk: Hardy's function Z(t) - results and problems

Abstract:

Hardy's function $$Z(t) := \zeta(1/2+it)\chi^{-1/2}(1/2+it), \zeta(s) = \chi(s)\zeta(1-s)$$ plays an important role in the detection of zeros of the Riemann zeta-function on the critical line $\Re s = 1/2$. The talk will present some recent results and problems on $Z(t)$. These primarily involve moments of $Z(t)$ and the distribution of its values.