Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

If $\langle x\rangle $ is the fractional part of $x$, it is known that for $0<\mu<1$, the sequence $\langle \log_\mu n\rangle _{n=1}^\infty$ is dense in $[0,1]$ but is not uniformly distributed. Is this a well studied sequence? Is there any result about the distribution of it?

share|cite|improve this question

2 Answers 2

It doesn't really depend very much on $\mu$, does it, since $\log_{\mu}n=\log n/\log\mu$. I'm not sure there's much to say about the distribution of the fractional part of $\log n$. It is discussed in the Kuipers-Niederreiter book.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.