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JOURNALS // Moscow Mathematical Journal // Archive

Mosc. Math. J., 2021 Volume 21, Number 1, Pages 31–42 (Mi mmj786)

This article is cited in 5 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

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.

MSC: 11A63, 11J86, 11N25

Language: English

DOI: 10.17323/1609-4514-2021-21-1-31-42



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© Steklov Math. Inst. of RAS, 2024