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arxiv: 0707.2139 · v2 · submitted 2007-07-14 · 🧮 math.NT · math.GM

On a Result of Hardy and Ramanujan

classification 🧮 math.NT math.GM
keywords omegaapproximationsexplicitfactorshardyintroducenumberprime
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In this paper, we introduce some explicit approximations for the summation $\sum_{k\leq n}\Omega(k)$, where $\Omega(k)$ is the total number of prime factors of $k$.

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