Weak multipliers for generalized van der Corput sequences

Florian Pausinger

Displaying similar documents to “Weak multipliers for generalized van der Corput sequences”

Dyadic diaphony of digital sequences

Friedrich Pillichshammer (2007)

Journal de Théorie des Nombres de Bordeaux

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The dyadic diaphony is a quantitative measure for the irregularity of distribution of a sequence in the unit cube. In this paper we give formulae for the dyadic diaphony of digital $(0, s)$ -sequences over $ℤ_{2}$ , $s = 1, 2$ . These formulae show that for fixed $s \in {1, 2}$ , the dyadic diaphony has the same values for any digital $(0, s)$ -sequence. For $s = 1$ , it follows that the dyadic diaphony and the diaphony of special digital $(0, 1)$ -sequences are up to a constant the same. We give the exact asymptotic order of the dyadic diaphony...

Enumeration in musical theory.

Fripertinger, Harald (1991)

Séminaire Lotharingien de Combinatoire [electronic only]

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The Riemann theorem and divergent permutations

Roman Wituła (1996)

Colloquium Mathematicae

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In this paper the fundamental algebraic propeties of convergent and divergent permutations of ℕ are presented. A permutation p of ℕ is said to be divergent if at least one conditionally convergent series $\sum a_{n}$ of real terms is rearranged by p to a divergent series $\sum a_{p (n)}$ . All other permutations of ℕ are called convergent. Some generalizations of the Riemann theorem about the set of limit points of the partial sums of rearrangements of a given conditionally convergent series are also studied. ...