User:Sintel/Zeta working page: Difference between revisions
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\begin{aligned} | \begin{aligned} | ||
F(x) &= \mathrm{Re} \, \sum_{n=1}^{\infty} \frac{1}{n^\sigma} n^{-i t} \\ | F(x) &= \mathrm{Re} \, \sum_{n=1}^{\infty} \frac{1}{n^\sigma} n^{-i t} \\ | ||
&= \mathrm{Re} \, \sum_{n=1}^{\infty} n^{ | &= \mathrm{Re} \, \sum_{n=1}^{\infty} \frac{1}{n^{\sigma + i t}} | ||
\end{aligned} | \end{aligned} | ||
</math> | </math> | ||