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How do I prove$$\lim_{n\to\infty} \sum\limits_{k=1}^n \frac{\Lambda(k)}{k}-\ln(n)=-\gamma $$

Where $\Lambda(k)$ is the Von-Mangoldt function, and gamma is the euler gamma constant

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    Theorem 424 in Hardy and Wright, page 348.2012-11-14
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    Thanks, can I get a link, I don't have a copy of the book2012-11-14
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    That's why there are libraries.2012-11-14
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    I cant get to a library, that is why I asked for a link2012-11-14
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    @Will, I have the 6th edition. Theorem 424 has relocated to page 462, and doesn't mention $\gamma$; it just has $O(1)$.2012-11-14
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    See too 3.3 of this (.ps) [paper](http://numbers.computation.free.fr/Constants/Gamma/gammaFormulas.ps).2012-11-15

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