cactus314
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 Apr 8 revised show that $\sum P(x,y) e^{x^2 + y^2}$ is a modular form over $\Gamma_0(4)$ where $P(x,y) = x^4 - 6 x^2 y^2 + y^4$ added 11 characters in body Apr 8 revised show that $\sum P(x,y) e^{x^2 + y^2}$ is a modular form over $\Gamma_0(4)$ where $P(x,y) = x^4 - 6 x^2 y^2 + y^4$ deleted 31 characters in body Apr 7 revised Let $\theta(z) = \sum q^{n^2}$, is $\theta(-1/z)$ also a theta function? added 3 characters in body Apr 6 revised Kloosterman Sums and Lattice Hyperbolas added 2 characters in body Mar 20 revised sum of divisors function $\sum \tau(n) = \frac{1}{4}$ added 755 characters in body Mar 18 revised How to visualize the region $\mathbb{H}/\Gamma_0(4)$ and its cusps? added 5 characters in body Mar 11 revised Bijective proof of $\sigma_0(m) \,\sigma_0(n) = \sum_{r | (m,n)} \sigma_0( mn / r^2)$? edited title Mar 11 revised Bijective proof of $\sigma_0(m) \,\sigma_0(n) = \sum_{r | (m,n)} \sigma_0( mn / r^2)$? added 2 characters in body Mar 9 revised Simplify Product of sines added 510 characters in body Mar 4 revised Why is $1 - \frac{1}{1 - \frac{1}{1 - \ldots}}$ not real? added 188 characters in body Mar 2 revised Show that $\sum_{\mathbb{Z}/N\mathbb{Z}} f(n) g(n+r)h(n+2r) = \sum_{a \in \mathbb{Z}/N\mathbb{Z}} \hat{f}(a)\hat{g}(-2a)\hat{h}(a)$ partial progress Jan 25 revised express as contour integral $f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}}$ edited body Jan 15 revised Non-equivalent metrics on $PSL_2(\mathbb{R})$ added 774 characters in body Jan 15 revised density of squarefree numbers in $\mathbb{Z}$ that are 1 mod 4 Stronger title Jan 13 revised What is $\frac{1}{1+\sqrt[3]{2}}$ in $\mathbb{Q}(\sqrt[3]{2})$? obviously the power is b^3 as the author meant to write Jan 3 revised Graph Relatives for Tessellation of the Hyperbolic Plane 'moduLar' not 'modular' Dec 27 revised Proof of Conway's “Simplicity Rule” for Surreal Numbers added 37 characters in body Dec 26 revised How do I simplify: $\exp \left(-a \frac{\log x}{\log Q} \right)$? added 199 characters in body Dec 24 revised What is the series expansion of reciprocal of theta function $\frac{1}{\theta(z;q)}$? edited title Dec 24 revised What is the series expansion of reciprocal of theta function $\frac{1}{\theta(z;q)}$? edited tags