Statistical properties of zeta functions’ zeros

Vladislav Kargin

doi:10.1214/13-PS214

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Home > Journals > Probab. Surveys > Volume 11 > Article

2014 Statistical properties of zeta functions’ zeros

Vladislav Kargin

Probab. Surveys 11: 121-160 (2014). DOI: 10.1214/13-PS214

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Abstract

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.