Über die Diskrepanz von Folgen in bewerteten Körpern

Let k be a field which is locally compact with respect to a valuation ||, let X denote the subset X={ k, ||1}. This paper is concerned with sequences of elements of X with respect to the theory of uniform distribution. Let D_N() denote the discrepancy of the sequence =(x_n). It is proved that for archimedian valuations with a certain constant for every sequence . In the non-archimedian case there exist sequences with .