At Least One Third of Zeros of Riemann Zeta Function on Critical Line/Historical Note
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Historical Note on At Least One Third of Zeros of Riemann Zeta Function on Critical Line
This result, published in April $1974$, was one of the last things Norman Levinson demonstrated.
In August $1974$ he published a further result: that the inequality is in fact strict.
In $1975$ he died of a brain tumour.
The result has since been improved, and it is now known that at least $\dfrac 2 5$ of the nontrivial zeroes of the Riemann zeta function lie on the critical line.