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6 votes

Nonnegativity of coefficients of a modular form defined in terms of the Jacobi thetanull fun...

Hmm, after a bit of googling I found that my conjecture is in fact proved in the 2018 Harvard honors thesis "Modular Magic" by Aaron Slipper. (The lucky google search that yielded this was "2607840 th …
Dan Romik's user avatar
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12 votes
2 answers
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Nonnegativity of coefficients of a modular form defined in terms of the Jacobi thetanull fun...

Question Let \begin{align*} \theta_2(q) & = \sum_{n=-\infty}^{\infty} q^{(n+1/2)^2} \\ \theta_3(q) & = \sum_{n=-\infty}^{\infty} q^{n^2} \\ \theta_4(q) & = \sum_{n=-\infty}^{\infty} (-1)^n q^{n^2} \en …
Dan Romik's user avatar
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