Will a physicist prove the Riemann Hypothesis?
Mathematical Physics
2020-02-25 v3 math.MP
Number Theory
Abstract
In the first part we present the number theoretical properties of the Riemann zeta function and formulate the Riemann Hypothesis. In the second part we review some physical problems related to this hypothesis: the links with Random Matrix Theory, relation with the Lee--Yang theorem on the zeros of the partition function, random walks, billiards etc.
Cite
@article{arxiv.1410.1214,
title = {Will a physicist prove the Riemann Hypothesis?},
author = {Marek Wolf},
journal= {arXiv preprint arXiv:1410.1214},
year = {2020}
}
Comments
Many changes in this version. Hamiltonian for trivial zeros of zeta is proposed