TY - JOUR
T1 - Linear statistics for zeros of Riemann's zeta function
AU - Hughes, Chris
AU - Rudnick, Zeév
N1 - Funding Information:
Acknowledgements. Supported in part by the EC TMR network “Mathematical aspects of Quantum Chaos”, EC-contract no HPRN-CT-2000-00103.
PY - 2002/10/15
Y1 - 2002/10/15
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/0038053089
U2 - 10.1016/S1631-073X(02)02541-4
DO - 10.1016/S1631-073X(02)02541-4
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AN - SCOPUS:0038053089
SN - 1631-073X
VL - 335
SP - 667
EP - 670
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 8
ER -