Die Fastperiodizität der Watson-Funktion

Abstract.

Let $\vartheta$ be a positive real number and $\chi$ the characteristic function of the set $\{n\in \Bbb N:(n,[\vartheta n])=1\}$ introduced by G. L. Watson. It is shown, that $\chi$ is almost-periodic and hence has a mean-value (also with restrictions), which can be computed.