Vorlage:Vergleichskette/align

So sieht es aus

So wird es geschrieben

${}{\begin{aligned}\prod _{p\in T}{\frac {1}{1-p^{-s}}}&={\frac {1}{1-p_{1}^{-s}}}\cdots {\frac {1}{1-p_{k}^{-s}}}\\&=\left(\sum _{i=0}^{\infty }(p_{1}^{-s})^{i}\right)\cdots \left(\sum _{i=0}^{\infty }(p_{k}^{-s})^{i}\right)\\&=\sum _{0\leq i_{1},\ldots ,i_{k}<\infty }(p_{1}^{-s})^{i_{1}}\cdots (p_{k}^{-s})^{i_{k}}\\&=\sum _{0\leq i_{1},\ldots ,i_{k}<\infty }(p_{1}^{i_{1}}\cdots p_{k}^{i_{k}})^{-s}\\&=\sum _{n\in M(T)}n^{-s}.\end{aligned}}$

{{ Vergleichskette/align | \prod_{p \in T} \frac{1}{1-p^{-s} } || \frac{1}{1-p_1^{-s} } \cdots \frac{1}{1-p_k^{-s} } || \left(\sum_{i{{=|}}0}^\infty (p_1^{-s})^{i}\right) \cdots \left(\sum_{i{{=|}}0}^\infty (p_k^{-s})^{i}\right) || \sum_{0 \leq i_1, \ldots, i_k < \infty} (p_1^{-s})^{i_1} \cdots (p_k^{-s})^{i_k} || \sum_{0 \leq i_1, \ldots, i_k < \infty} ( p_1^{i_1} \cdots p_k^{i_k})^{-s} || \sum_{n \in M(T)} n^{-s} |SZ=. }}