Publication: Uniformly distributed sequences generated by shift transformations in a class of Q s-representation
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Date
Authors
Pratsiovytyi Mykola
Kryvoshyia Rostyslav
Makarchuk Oleh
Journal Title
Journal ISSN
Volume Title
Publisher
Dragomanov Ukrainian State University Publ.
Abstract
In this work we deepened the results of I. Niven and H. Zukerman for the Q∗s-representations in the context of the E. Borel metric theory of normal numbers.
Description
Keywords
Q∗ s-representation, normal numbers, uniformly distributed sequence, ergodic transformation, Lebesgue measure, dynamic systems
Citation
Pratsiovytyi, M. Uniformly distributed sequences generated by shift transformations in a class of Q s-representation / M. Pratsiovytyi, R. Kryvoshyia, O. Makarchuk // Voronoï's Impact on Modern Science. Proceedings of the Sixth International Conference on Analytic Number Theory and Spatial Tessellations : In two volumes / Mykola Pratsiovytyi and Dmytro Karvatskyi (Eds.) ; Halyna Syta (Compil.) ; Dragomanov Ukrainian State University. - Kyiv : Dragomanov Ukrainian State University Publ., 2025. - Vol. 2. - P. 191-198.