Aleksandar Ivic

Affiliation: Serbian Academy of Sciences


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



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.

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Last update made Tue Jan 19 16:11:54 PST 2016.
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