Abstract

In this paper, we study finite hybrid point sets in the s-dimensional unit cube where the components stem from Halton sequences in prime bases and from lattice point sets modulo a prime. We employ the recently developed b-adic method to derive previously unknown bounds on the so-called hybrid diaphony, a measure for uniformity of distribution. Our main tools are a variant of the ErdosTuran-Koksma inequality for diaphony, the study of certain hybrid exponential sums and elementary averaging and counting techniques.

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