If , then

Let’s define an analogue of the theta function by replacing that trigonometric cosine with an elliptic , where is the elliptic modulus.

So we’d have:

Here’s a domain colored picture of :

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If , then

Let’s define an analogue of the theta function by replacing that trigonometric cosine with an elliptic , where is the elliptic modulus.

So we’d have:

Here’s a domain colored picture of :

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