# The Riemann hypothesis is valid for at least one third of the zeros of the Riemann zeta function

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Naser Talebi Zadeh , Princeton University
Fine Hall 314

Let N(T) be the number of the zeros of the Riemann zeta function with imaginary part less than T, and let N_0(T) be the number of such zeros which lie on the critical line. The Riemann hypothesis says that we have N(T) = N_0(T). In this talk we will show that N_0(T) > 1/3 N(T).