English

Approximation in measure: Dirichlet problem, universality and the Riemann hypothesis

Complex Variables 2021-08-11 v1

Abstract

Approximation in measure is employed to solve an asymptotic Dirichlet problem on arbitrary open sets and to show that many functions, including the Riemann zeta-function, are universal in measure. Connections with the Riemann Hypothesis are suggested.

Keywords

Cite

@article{arxiv.2002.10129,
  title  = {Approximation in measure: Dirichlet problem, universality and the Riemann hypothesis},
  author = {Javier Falcó and Paul M. Gauthier},
  journal= {arXiv preprint arXiv:2002.10129},
  year   = {2021}
}
R2 v1 2026-06-23T13:51:20.424Z