Zeros of Dirichlet Polynomials via a Density Criterion
Number Theory
2017-04-06 v1
Abstract
We obtain a necessary and sufficient condition in order that a semi-plane of the form , , is free of zeros of a given Dirichlet polynomial. The result may be considered a natural generalization of a well-known criterion for the truth of the Riemann hypothesis due to B\'aez-Duarte. An analog for the case of Dirichlet polynomials of a result of Burnol which is closely related to B\'aez-Duarte's one is also established.
Cite
@article{arxiv.1704.01234,
title = {Zeros of Dirichlet Polynomials via a Density Criterion},
author = {Willian D. Oliveira},
journal= {arXiv preprint arXiv:1704.01234},
year = {2017}
}