How can we get or prove that the 'fractal dimension' of the Cantor set is $\log_{3} (2)$?
I know how to prove by evaluating the poles of $f(s)= \sum \limits_{n=1}^{\infty} 2^{n-1} 3^{-sn}$, and then I take the real pat of the poles which is $\log _{3} (2)$ with complex period $ \frac{2\pi i}{\log 3}$.