Linear statistics for zeros of Riemann's zeta function

Details Linear statistics for zeros of Riemann's zeta function Linear statistics for zeros of Riemann's zeta function

2002-08-28

arxiv.org/abs/math/0208220v1

Mathematics

Number Theory

Scientific paper

We consider a smooth counting function of the scaled zeros of the Riemann
zeta function, around height T. We show that the first few moments tend to the
Gaussian moments, with the exact number depending on the statistic considered.

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