@GhidelliLuca a request: please can we restrict "theta" to just quadratic series? Where the exponent is O(n^2) or as in the matrix product in a Riemann theta function. A lot of the magic* evaporates, and it's good if we can tell these things apart.
*magic: see the Tata lectures
on theta. Maybe we can call them ð and þ functions? https://arxiv.org/abs/1910.05076
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also: measure the extent to which these are not modular forms.
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