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Normal properties of numbers in the terms of their representation by the Perron series

UDC 511.7 We examine the representation of real numbers by the Perron series ($P$-representation) given by $$(0;1]\ni x=\sum\limits_{n=0}^{\infty}\frac{r_0 r_1\ldots r_n}{(p_1-1)p_1\ldots(p_n-1)p_n p_{n+1}}=\Delta^P_{p_1 p_2\ldots},\quad\mbox{where}\quad r_n,p_n\in\mathbb{N},\quad p_{n+1}\geq r_n+1,...

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Bibliographic Details
Date:	2023
Main Authors:	Moroz, M., Мороз, Микола
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2023
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7503
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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