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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 relations;...

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Veröffentlicht in:	Algebra and Discrete Mathematics
Datum:	2012
Hauptverfasser:	Zhykharyeva, Yu., Pratsiovytyi, M.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Інститут прикладної математики і механіки НАН України 2012
Online Zugang:	https://nasplib.isofts.kiev.ua/handle/123456789/152235
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:	Expansions of numbers in positive Lüroth series and their applications to metric, probabilistic and fractal theories of numbers / Yu. Zhykharyeva, M. Pratsiovytyi // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 145–160. — Бібліогр.: 18 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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