Defining `$$$ $$$` to align

I would like to define

$$$ \zeta(s) = \dfrac1{1^s} + \dfrac1{2^s} + \cdots $$$

as a short hand for

\begin{align}
\zeta(s) = \dfrac1{1^s} + \dfrac1{2^s} + \cdots
\end{align}`

How should I go about doing this?

PS: I am aware of using newcommand to define something like

\newcommand{\ba}[1]{\begin{align}#1 \end{align}}