Institut de Mathématiques de Luminy

Abstract 2005-02

Faure Henri.
Discrepancy and diaphony of digital (0, 1)-sequences in prime base.

Introduction :
This article is devoted to a precise study of the discrepancies D*, D, T and of the diaphony F of a class of digital (0, 1)sequences in prime bases, the so-called NUT digital (0, 1)-sequences, generated by nonsingular upper triangular matrices. Apart from Number Theory, the interest for such sequences comes from the intensive use in numerical integration of their multidimensional versions, the digital (0, s)-sequences, which are themselves special cases of the more general (t, s)-sequences introduced by Niederreiter [10].
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Last update : january 13, 2005, EL.