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

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.

References in corpus (1)

• Mergelyan's approximation theorem with nonvanishing polynomials and universality of zeta-functions