Expansions of numbers in positive Lüroth series and their applications to metric, probabilistic and fractal theories of numbers
We describe the geometry of representation of numbers belonging to \((0,1]\) by the positive Lüroth series, i.e., special series whose terms are reciprocal of positive integers. We establish the geometrical meaning of digits, give properties of cylinders, semicylinders and tail sets, metric relation...
Gespeichert in:
| Datum: | 2018 |
|---|---|
| Hauptverfasser: | Zhykharyeva, Yulia, Pratsiovytyi, Mykola |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
|
| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/716 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete MathematicsÄhnliche Einträge
-
Expansions of numbers in positive Lüroth series and their applications to metric, probabilistic and fractal theories of numbers
von: Zhykharyeva, Yu., et al.
Veröffentlicht: (2012) -
Expansions of numbers in positive L.uroth series and their applications to metric, probabilistic and fractal theories of numbers
von: Yu. Zhykharyeva, et al.
Veröffentlicht: (2012) -
Jacobsthal-Lucas series and their applications
von: Pratsiovytyi, Mykola, et al.
Veröffentlicht: (2017) -
Jacobsthal-Lucas series and their applications
von: Pratsiovytyi, Mykola, et al.
Veröffentlicht: (2017) -
Transformations of \((0,1]\) preserving tails of \(\Delta^{\mu}\)-representation of numbers
von: Isaieva, Tetiana M., et al.
Veröffentlicht: (2016)