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On the digital representation of smooth numbers
Published online by Cambridge University Press: 29 August 2017
Abstract
Let b ⩾ 2 be an integer. Among other results we establish, in a quantitative form, that any sufficiently large integer which is not a multiple of b cannot simultaneously be divisible only by very small primes and have very few nonzero digits in its representation in base b.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 165 , Issue 3 , November 2018 , pp. 533 - 540
- Copyright
- Copyright © Cambridge Philosophical Society 2017
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