Theorems

The Riemann hypothesis on the zeros of the zeta-function

The equivalent version of the Riemann hypothesis

A. Weil's "explicit formula"

The distribution of the zeros

Zeta function regularization

One map with zeta function

One max-property

Montgomery conjecture

Keating-Snaith conjecture

Hughes-Keating-O'Connel conjecture

GUE hypothesis

Asymptotical behaviour of zeros

The lattice-packing density for any convex symmetrical body

The probability of a lattice point to be visible

The scattering matrix