The Beurling-Malliavin density, the Polya density and their connection
Number Theory
2024-04-30 v1
Abstract
In this paper we present a new formulation of the Beurling-Malliavin density (Proposition 1). Then we consider the upper Polya density and show how its existence is connected with the concept of subadditivity; moreover, by means of some quantities introduced for proving Proposition 1, a theorem is presented that clarifies the connection between the upper Polya and the Beurling-Malliavin densities. In the last section we discuss the classical definition of the upper Polya density and we prove a result which seems to be new.
Cite
@article{arxiv.2404.18711,
title = {The Beurling-Malliavin density, the Polya density and their connection},
author = {Rita Giuliano and Georges Grekos and Ladislav Misik},
journal= {arXiv preprint arXiv:2404.18711},
year = {2024}
}
Comments
20 pages