Critical line theorem

In Mathematical, the theorem of the right-hand side criticizes indicates to us that at least a percentage fixed of zero not-commonplace of the Fonction zeta of Riemann, has values where $\ zeta (s+it) =0 \,$ and $0 < S < 1 \,$ , placed on the critical line where $s = \ frac {1} {2} \,$ . While following the work of G.H. Hardy and John Edensor Littlewood showing that there was an infinity of zeros on the critical line, the theorem was shown for a small percentage by Atle Selberg.

Norman Levinson improved this with a third of the zeros, and Conrey with the two-fifths. The Hypothèse of Riemann implies that the true value would be one. Nevertheless, if the true value is one, the Hypothèse of Riemann is not necessarily implied, because if the zeros apart from the line criticizes are sufficiently spaced, then it is possible that they can include/understand " zero pourcent" from all the zeros in the critical band.

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