Distribution of Sequences: A Sampler

by Oto Strauch (Author) Stefan Porubský (Author)
Monographs XXII, 543 Pages


The monograph covers material scattered throughout books and journals and focuses on the distribution properties of sequences which may be expressed in terms of distribution function, upper and lower distribution function, the discrepancy, diaphony, dispersion etc. The individual character of sequences reflected in their distribution properties may be an object of study from various points of view, and as such they are often the primary goal of investigation. In that case the studied properties are caught in separate results and are consequently accessible in a displayed form. On the other hand, the various distribution properties of sequences play only a subsidiary role in proofs and thus remain often hidden and are not manifested in a visible form. The enormous wealth of information contained in both cases may be of value not only to those working directly in the field, but also to those working in related branches of number theory, combinatorics, real or numerical analysis in the process of finding sequence possessing the required properties. Last, but not least browsing throughout the book may provide the impetus for prospective further research. This is what we hope may address a wide class of working mathematicians.


XXII, 543
ISBN (Softcover)
Frankfurt am Main, Berlin, Bern, Bruxelles, New York, Oxford, Wien, 2005. XXII, 543 pp.

Biographical notes

Oto Strauch (Author) Stefan Porubský (Author)

The Authors: Oto Strauch is a member of the research staff of Mathematical Institute of the Slovak Academy of Sciences since 1986. His research interests firstly focus on metric theory of diophantine approximations, he published some papers on so called Duffin-Schaeffer conjecture. Strauch’s current field is the theory of uniform distribution and he has concentrated on distribution functions of sequences. Štefan Porubský is a full professor of mathematics at the Institute of Computer Science of the Czech Academy of Sciences in Prague and the author of several books and of more than 50 publications in number theory, combinatorics, commutative algebra, cryptology and history of mathematics. He spent 20 years at the Mathematical Institute of Slovak Academy of Sciences in Bratislava.


Title: Distribution of Sequences: A Sampler