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Moscow Mathematical Journal, 2021, Volume 21, Number 1, Pages 31–42
DOI: https://doi.org/10.17323/1609-4514-2021-21-1-31-42 (Mi mmj786) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Zeckendorf representation of smooth numbers

Yann Bugeaud

Institut de Recherche Mathématique Avancée, U.M.R. 7501, Université de Strasbourg et C.N.R.S., 7, rue René Descartes, 67084 Strasbourg, France
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DOI: https://doi.org/10.17323/1609-4514-2021-21-1-31-42
Abstract: Among other results, we establish, in a quantitative form, that any sufficiently large integer cannot simultaneously be divisible only by very small primes and have very few digits in its Zeckendorf representation.
Key words and phrases: radix representation, Baker's theory, Schmidt subspace theorem.
Bibliographic databases:
Document Type: Article
MSC: 11A63, 11J86, 11N25
Language: English
Citation: Yann Bugeaud, “On the Zeckendorf representation of smooth numbers”, Mosc. Math. J., 21:1 (2021), 31–42
Citation in format AMSBIB
\Bibitem{Bug21}
\by Yann~Bugeaud
\paper On the Zeckendorf representation of smooth numbers
\jour Mosc. Math.~J.
\yr 2021
\vol 21
\issue 1
\pages 31--42
\mathnet{http://mi.mathnet.ru/mmj786}
\crossref{https://doi.org/10.17323/1609-4514-2021-21-1-31-42}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85101201775}
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    • This publication is cited in the following 4 articles:
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