✦ LIBER ✦

Linear statistics for zeros of Riemann's zeta function

✍ Scribed by Chris Hughes; Zeév Rudnick

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 60 KB
Volume: 335
Category: Article
ISSN: 1631-073X
DOI: 10.1016/s1631-073x(02)02541-4

No coin nor oath required. For personal study only.

✦ Synopsis

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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