[tex]\sum_{n=1}^{\infty}(-1)^{n}\frac{e^{-(nx)^2}}{n^{1-m}}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

Where m is an integer and 0<x<oo. I need a closed form solution, and was thinking something along the lines of a theta-type function, but cannot seem to locate any identities that match. Anyone have a suggestion?

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# Need help with this series.

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