Friday, June 3, 2016

analysis - Why does $1+2+3+cdots = -frac{1}{12}$?

$\displaystyle\sum_{n=1}^\infty \frac{1}{n^s}$ only converges to $\zeta(s)$ if $\text{Re}(s) > 1$.



Why should analytically continuing to $\zeta(-1)$ give the right answer?

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analysis - Injection, making bijection

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