Uniform distribution of sequences of integers
نویسندگان
چکیده
© Foundation Compositio Mathematica, 1964, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
منابع مشابه
Distribution properties of sequences generated by Q-additive functions with respect to Cantor representation of integers
In analogy to ordinary q-additive functions based on q-adic expansions one may use Cantor expansions with a Cantor base Q to define (strongly) Q-additive functions. This paper deals with distribution properties of multi-dimensional sequences which are generated by such Q-additive functions. If in each component we have the same Cantor base Q, then we show that uniform distribution already impli...
متن کاملNon-Abelian Sequenceable Groups Involving ?-Covers
A non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized Fibonacci sequence , , , . A remarkable application of this definition may be find on the study of random covers in the cryptography. The 2-step generalized sequences for the dihedral groups studi...
متن کاملWeak multipliers for generalized van der Corput sequences
Generalized van der Corput sequences are onedimensional, infinite sequences in the unit interval. They are generated from permutations in integer base b and are the building blocks of the multi-dimensional Halton sequences. Motivated by recent progress of Atanassov on the uniform distribution behavior of Halton sequences, we study, among others, permutations of the form P (i) = ai (mod b) for c...
متن کاملStatistical uniform convergence in $2$-normed spaces
The concept of statistical convergence in $2$-normed spaces for double sequence was introduced in [S. Sarabadan and S. Talebi, {it Statistical convergence of double sequences in $2$-normed spaces }, Int. J. Contemp. Math. Sci. 6 (2011) 373--380]. In the first, we introduce concept strongly statistical convergence in $2$-normed spaces and generalize some results. Moreover, we define the conce...
متن کاملDistribution Property of Recursive Sequences Defined
We shall consider a distribution property of sequences of integers. Let us denote a (a„)nGM an infinite sequence of integers. For integers N > 1, m > 2, and j (0 < J < 77Z — 1), let us define AN(j9 m9 a) as the number of terms among al3 a2S ...9aN satisfying the congruence an = j (mod m) . A sequence a (an)nEH±s said to be uniformly distributed modulo m (u.d. mod m) if, for every J = 0, 1, ...,...
متن کاملA note on how the problem of Partion of Integers show in Caching
In this article, we show how the finding the number of partitions of same size of a positive integer show up in caching networks. We present a stochastic model for caching where user requests (represented with positive integers) are a random process with uniform distribution and the sum of user requests plays an important role to tell us about the nature of the caching process. We discuss Euler...
متن کامل