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Dal'nevostochnyi Matematicheskii Zhurnal, 2024, Volume 24, Number 1, Pages 141–150
DOI: https://doi.org/10.47910/FEMJ202413 (Mi dvmg538) 		 
On numbers with fixed last digits of linear recurrent base expansion

A. V. Shutov

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
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DOI: https://doi.org/10.47910/FEMJ202413
Abstract: We study some properties of natural numbers with fixed last digits of linear recurrent base expansion. Using the theory of Rauzy fractals we describe possible densities of such numbers and possible first differences between them.
Key words: linear recurrent base expansion, last digits, densities, first differences, Rauzy fractals.
Funding agency Grant number
Russian Science Foundation 19-11-00065
The study was supported by the Russian Science Foundation grant No. 19-11-00065, https://rscf.ru/project/19-11-00065/.
Received: 04.09.2023
Accepted: 14.11.2023
Document Type: Article
UDC: 511.3
MSC: Primary 11B37; Secondary 11A63, 11K16
Language: Russian
Citation: A. V. Shutov, “On numbers with fixed last digits of linear recurrent base expansion”, Dal'nevost. Mat. Zh., 24:1 (2024), 141–150
Citation in format AMSBIB
\Bibitem{Shu24}
\by A.~V.~Shutov
\paper On numbers with fixed last digits of linear recurrent base expansion
\jour Dal'nevost. Mat. Zh.
\yr 2024
\vol 24
\issue 1
\pages 141--150
\mathnet{http://mi.mathnet.ru/dvmg538}
\crossref{https://doi.org/10.47910/FEMJ202413}
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