Dirichlet polynomials: some old and recent results, and their interplay in number theory
Number Theory
2017-07-13 v3 Probability
Abstract
In the first part of this expository paper, we present and discuss the interplay of Dirichlet polynomials in some classical problems of number theory, notably the Lindel\"of Hypothesis. We review some typical properties of their means and continue with some investigations concerning their supremum properties. Their random counterpart is considered in the last part of the paper, where a analysis of their supremum properties, based on methods of stochastic processes, is developed.
Keywords
Cite
@article{arxiv.0907.4931,
title = {Dirichlet polynomials: some old and recent results, and their interplay in number theory},
author = {Michel Weber},
journal= {arXiv preprint arXiv:0907.4931},
year = {2017}
}
Comments
29 pages