On the Zeckendorf representation of smooth numbers

2019/09/09 by Bugeaud, Yann
#11A63 #11J86 #11N25 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1909.03863

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.

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