Abstract :
A measure for the denseness of sequences {αn mod 1}, α irrational, is the dispersion constant D(α) introduced by H. Niederreiter, [1981, Colloq. Number Theory185, 43–50]. In this paper a real number c has been found above which the dispersion spectrum (the set of values D(α) for α irrational) is continuous. A simple proof of an inequality by V. Drobot is given also.
