Is there a special function that defines the following series
$$T(x)=\sum_{n=0}^{\infty} e^{-a^2n^2}e^{-2x \pi n}$$
At first I tried the elliptic theta function.
Is there a special function that defines the following series
$$T(x)=\sum_{n=0}^{\infty} e^{-a^2n^2}e^{-2x \pi n}$$
At first I tried the elliptic theta function.
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