Criteria equivalent to the Riemann Hypothesis
Number Theory
2009-11-13 v2 General Mathematics
Abstract
We give a brief overview of a few criteria equivalent to the Riemann Hypothesis. Next we concentrate on the Riesz and B{\'a}ez-Duarte criteria. We proof that they are equivalent and we provide some computer data to support them. It is not compressed to six pages version of the talk delivered by M.W. during the XXVII Workshop on Geometrical Methods in Physics, 28 June -- 6 July, 2008, Bia{\l}owie{\.z}a, Poland.
Cite
@article{arxiv.0808.0640,
title = {Criteria equivalent to the Riemann Hypothesis},
author = {J. Cislo and M. Wolf},
journal= {arXiv preprint arXiv:0808.0640},
year = {2009}
}
Comments
It is not compressed to six pages version of the talk delivered by M.W. during the XXVII Workshop on Geometrical Methods in Physics, 28 June -- 6 July, 2008, Bia{\l}owie{\.z}a, Poland. New Fig.1 is included