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Why for every range of N numbers, there are always approximately 0.392*N numbers which contains perfect squares as factors? [duplicate]
As to my current understanding, when simplifying radicands of roots what we are really doing is checking if this said number contains a perfect square number as a factor. Studying the distribution of ...
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Question about Zeta-distribution regarding divisibility by primes
For $s>1$ the Riemann Zeta-function is $$\zeta(s)=\sum_{n=1}^{\infty}n^{-s}$$
For a random variable $X$ with values in $\Bbb{N}$, its distribution is given by
$$\Bbb{P}[X=n]=\frac{n^{-s}}{\zeta(s)...
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