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Sieving and the Erd{H o}s-Kac theorem

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arxiv math/0606039 v1 pith:S6UAJULS submitted 2006-06-01 math.NT math.PR

Sieving and the Erd{H o}s-Kac theorem

classification math.NT math.PR
keywords prooftheoremcomputingcontexteasyextendsgiveleads
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We give a relatively easy proof of the Erd\H os-Kac theorem via computing moments. We show how this proof extends naturally in a sieve theory context, and how it leads to several related results in the literature.

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