Answer by Anurag Sahay for Reference request - Pillai-Selberg Theorem
The original references are:S. Selberg [Math. Z. 44 (1939), 306–318; zbMATH:0019.39308]S. S. Pillai [Proc. Indian Acad. Sci. Sect. A. 11 (1940), 13–20; zbMATH:66.0168.01, MR0001761].Interestingly (I...
View ArticleAnswer by GH from MO for Reference request - Pillai-Selberg Theorem
Sigmund Selberg (1939) proved this for square-free numbers. You can find the original proof here.For the general statement with a better error term than $o(x)$, see Addison (1957).
View ArticleReference request - Pillai-Selberg Theorem
I want to find a proof of the following claim. Let $\Omega(n)$ denote the number of prime factors of an integer $n$ counted with multiplicity. Then $\Omega(n)$ equidistributes over residue classes....
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