Arithmotheoretic limit

General Mathematics
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Riemann
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Location: Melbourne, Australia

Arithmotheoretic limit

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Post by Riemann »

Evaluate the limit:

$$\ell= \lim_{n \rightarrow +\infty} \frac{1}{n^2} \sum_{m=1}^{n} n \pmod m$$
$\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^s}= \prod_{p \; \text{prime}}\frac{1}{1-p^{-s}}$
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