Welcome to mathimatikoi.org;a forum of university mathematics. Enjoy your stay here.

Arithmotheoretic limit

General Mathematics
Post Reply
User avatar
Articles: 0
Posts: 168
Joined: Sat Nov 14, 2015 6:32 am
Location: Melbourne, Australia

Arithmotheoretic limit


Post by Riemann » Sun Oct 20, 2019 6:15 pm

Evaluate the limit:

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