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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| Date: | 2023 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2023
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| 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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