Editing Riemann zeta function (section)

===Number of zeros in the critical strip===
Let <math>N(T)</math> be the number of zeros of <math>\zeta(s)</math> in the critical strip <math>0 < \operatorname{Re}(s) < 1</math>, whose imaginary parts are in the interval <math>0 < \operatorname{Im}(s) < T</math>.
[[Timothy Trudgian]] proved that, if <math>T > e</math>, then<ref>{{cite journal | first=Timothy S. | last=Trudgian | title = An improved upper bound for the argument of the Riemann zeta function on the critical line II | journal = J. Number Theory | date = 2014 | volume = 134 | pages = 280–292 | doi = 10.1016/j.jnt.2013.07.017 | arxiv = 1208.5846}}</ref>
:<math> \left|N(T) - \frac{T}{2\pi} \log{\frac{T}{2\pi e}}\right| \leq 0.112 \log T + 0.278 \log\log T + 3.385 + \frac{0.2}{T}</math>.