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The Number of Non-Zero Digits of n!

Published online by Cambridge University Press:  20 November 2018

Florian Luca
Florian Luca*
Affiliation:
Mathematical Institute, Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic, email: luca@matsrv.math.cas.cz
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Abstract

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Let $b$ be an integer with $b\,>\,1$. In this note, we prove that the number of non-zero digits in the base $b$ representation of $n!$ grows at least as fast as a constant, depending on $b$, times $\log \,n$.

Keywords

11A63
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 1 , 01 March 2002 , pp. 115 - 118
Copyright
Copyright © Canadian Mathematical Society 2002

References

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