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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1974 Apr;71(4):1013–1015. doi: 10.1073/pnas.71.4.1013

At Least One-Third of Zeros of Riemann's Zeta-Function are on σ = ½

Norman Levinson 1
PMCID: PMC388151  PMID: 16592151

Abstract

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 σ = ½.

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