On good universality and the Riemann hypothesis
Number Theory
2021-04-07 v2
Abstract
We use subsequence and moving average ergodic theorems applied to Boole's transformation and its variants and their invariant measures on the real line to give new characterisations of the Lindelh{\"o}f Hypothesis and the Riemann hypothesis. These ideas are then used to study the value distribution of Dirichlet L series, and the zeta functions of Dedekind, Hurwitz and Riemann and their derivatives. This builds on earlier work of R. L. using Birkhoff's ergodic theorem and probability theory.
Cite
@article{arxiv.2006.05116,
title = {On good universality and the Riemann hypothesis},
author = {Jean-Louis Verger-Gaugry and Radhakrishnan Nair and Michel Weber},
journal= {arXiv preprint arXiv:2006.05116},
year = {2021}
}
Comments
Advances in Mathematics, Elsevier, 2021