john mangual
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 Oct 6 revised Where are the roots going? added 357 characters in body Sep 28 revised How many different values can $(x^2 + y^2, x^2 + 2y^2 )$ have mod 4? added some data points from my own computations to help with a possible guess for the formula Sep 28 revised How many different values can $(x^2 + y^2, x^2 + 2y^2 )$ have mod 4? added 70 characters in body Sep 24 revised Are conjugacy classes in $SO(\mathbb{Z}[\frac{1}{2}])$ infinite? added 155 characters in body Sep 18 revised Embedding of symmetric groups into orthogonal groups added 539 characters in body Sep 17 revised Proof of $\sum_{d|n} {\tau}^3(d)=\left(\sum_{d|n}{\tau}(d)\right)^2$ (not standard proof) added 1269 characters in body Sep 2 revised Kloosterman Sums and Lattice Hyperbolas added 193 characters in body Aug 31 revised Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator added 88 characters in body Aug 26 revised LCM of randomly selected integers added 647 characters in body Aug 26 revised Large regions of the plane $(x,y) \in \mathbb{Z}^2$ with no relatively prime points: $\mathrm{gcd}(x,y) > 1$ added 8 characters in body Aug 25 revised Groups of order $8n$ have at least five distinct conjugacy classes added 47 characters in body Aug 20 revised Prove that there exists infinitely many positive integers $n$ such that $\sin^2{(na)}+\sin^2{(nb)}\le \frac{2\pi^2}{n}$ added 195 characters in body Aug 19 revised Prove or disprove: $\sum_{b \vee d = x} \tau(b) \tau(d) = \tau(x)^3$ added 2 characters in body Aug 19 revised Prove or disprove: $\sum_{b \vee d = x} \tau(b) \tau(d) = \tau(x)^3$ added 43 characters in body Aug 19 revised Prove or disprove: $\sum_{b \vee d = x} \tau(b) \tau(d) = \tau(x)^3$ added 376 characters in body Aug 16 revised Moebius band not homeomorphic to Cylinder. added 149 characters in body Aug 15 revised Moebius band not homeomorphic to Cylinder. deleted 315 characters in body Aug 15 revised Moebius band not homeomorphic to Cylinder. added 70 characters in body Aug 15 revised Moebius band not homeomorphic to Cylinder. added 259 characters in body Aug 15 revised Moebius band not homeomorphic to Cylinder. added 259 characters in body