At Least One-Third of Zeros of Riemann's Zeta-Function are on sigma = (1/2).
Starting from the derivative of the functional equation of the zeta-function, it is shown that at least one-third of the zeros of the zeta-function are on the line sigma = (1/2).
Levinson
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Department of Mathematics, Room 2-365, Massachusetts Institute of Technology, Cambridge, Mass. 02139.