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Results tagged with sphere-packing
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user 78525
12
votes
2
answers
455
views
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 …
- 2,549
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 …
- 2,549