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Linear statistics for zeros of Riemann's zeta function.

Research group:
Number Theory
TitleLinear statistics for zeros of Riemann's zeta function.
Publication TypeJournal Article
Year of Publication2002
AuthorsHughes C, Rudnick Z
JournalC. R. Math. Acad. Sci. Paris
Volume335
Pagination667--670
AbstractWe 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.
URLhttp://arxiv.org/abs/math.NT/0208220
DOI10.1016/S1631-073X(02)02541-4
E-print numberarXiv:math.NT/0208220
MathRevMR1941646

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Edited 7 Oct 2009 - 14:36 by ch540

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