Timeline for Is the sequence $\{\Omega(n)\alpha\}$ uniformly distributed in $[0,1)$?
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| May 8, 2013 at 23:49 | comment | added | Dimitris Koukoulopoulos | The answer is yes. Look up the chapter on the Selberg-Delange method in Tenenbaum's book "Intro to Analytic and Probabilistic Number Theory". | |
| May 7, 2013 at 15:45 | comment | added | Anthony Quas | If the Erdös-Kac theorem existed in a more refined version, saying that if you look at the distribution of $\Omega(n)$ over a range of $n$'s, then $\Omega(n)−\log\log n$ is close in total variation distance to a normal random variable, then the answer would be yes. | |
| May 7, 2013 at 12:47 | history | asked | Joel Moreira | CC BY-SA 3.0 |