Open Access
2014 Statistical properties of zeta functions’ zeros
Vladislav Kargin
Probab. Surveys 11: 121-160 (2014). DOI: 10.1214/13-PS214


The paper reviews existing results about the statistical distribution of zeros for three main types of zeta functions: number-theoretical, geometrical, and dynamical. It provides necessary background and some details about the proofs of the main results.


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Vladislav Kargin. "Statistical properties of zeta functions’ zeros." Probab. Surveys 11 121 - 160, 2014.


Published: 2014
First available in Project Euclid: 3 July 2014

zbMATH: 1301.11063
MathSciNet: MR3264556
Digital Object Identifier: 10.1214/13-PS214

Primary: 11M26 , 11M50 , 62E20

Keywords: distribution of zeros , Montgomery’s conjecture , Riemann’s zeta , Ruelle’s zeta , Selberg’s zeta

Rights: Copyright © 2014 The Institute of Mathematical Statistics and the Bernoulli Society

Vol.11 • 2014
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