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On the distribution of sequences connected with good lattice points

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Abstract

In the first part improvements on the estimate of the discrepancy of two well known two-dimensional sequences, important in the theory of numerical integration and in the theory of pseudo-random-numbers, are derived from a general theorem on diophantine approximation. In the second part some properties of another important distribution measure for special sequences are shown.

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  1. Institut für Mathematik, Universität Salzburg, Petersbrunnstraße 19, A-5020, Salzburg, Austria

    Gerhard Larcher

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  1. Gerhard Larcher
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Larcher, G. On the distribution of sequences connected with good lattice points. Monatshefte für Mathematik 101, 135–150 (1986). https://doi.org/10.1007/BF01298926

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  • DOI: https://doi.org/10.1007/BF01298926

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