Jacobi theta function
= Jacobi theta function
{c}
{title2=$\theta(\tau)$}
The Jacobi theta function
$$
\theta(\tau)=\sum_{n\in\mathbb Z}e^{\pi in^2\tau}
$$
satisfies $\theta(\tau+2)=\theta(\tau)$ and $\theta(-1/\tau)=(-i\tau)^{1/2}\theta(\tau)$.
= Jacobi theta function
{c}
{title2=$\theta(\tau)$}
The Jacobi theta function
$$
\theta(\tau)=\sum_{n\in\mathbb Z}e^{\pi in^2\tau}
$$
satisfies $\theta(\tau+2)=\theta(\tau)$ and $\theta(-1/\tau)=(-i\tau)^{1/2}\theta(\tau)$.