On a Result of Hardy and Ramanujan

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In this paper, we introduce some explicit approximations for the summation $\sum_{k\leq n}Ω(k)$, where $Ω(k)$ is the total number of prime factors of $k$.
Project Report. Accepted for publication in the Sarajevo Journal of Mathematics

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Number Theory, General Mathematics, 05A10, 11A41, 26D15, 26D20

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http://salesiana.dossiersoluciones.com/handle/123456789/142227

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.2139
 http://arxiv.org/abs/0707.2139

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arXiv