Statistical properties of zeta functions' zeros
Vladislav Kargin
TL;DR
This paper reviews the statistical distribution of zeros across different types of zeta functions, providing background and proof details for key results in the field.
Contribution
It offers a comprehensive overview of existing results on zeta zeros' statistics, highlighting connections among number-theoretical, geometrical, and dynamical zeta functions.
Findings
Summarizes main results on zeros' distribution
Provides background and proof details
Highlights connections among different zeta functions
Abstract
The paper reviews existing results about the statistical distribution of zeros for the three main types of zeta functions: number-theoretical, geometrical, and dynamical. It provides necessary background and some details about the proofs of main results.
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