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

Graduate Student Seminar

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).