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Aug
15
comment Area of a Random Polygon
I don't think the exact formula is a very exciting thing to compute. There are some interesting formulas in the large $n$ limit. See the papers of John Pardon. arXiv:1110.5656 Central limit theorems for uniform model random polygons.
Aug
15
comment Without using Heegner-Stark-Baker, $\mathbb{Q}(\sqrt{-11})$ has class number $1$.
Possibly related Dense Packings from Algebraic Number Fields and Codes Shantian Cheng
Aug
13
revised Dual Cone Construction $\{z \; | \;z \perp v \text{ for some } v \in \Lambda \}$
added 13 characters in body
Aug
13
asked Dual Cone Construction $\{z \; | \;z \perp v \text{ for some } v \in \Lambda \}$
Aug
13
comment Does $\cos (\pi/5)$ belong to $\mathbb{Q} (\sin(\pi/5))$?
Somehow we should exploit: $\cos \frac{\pi}{5} = \sqrt{1 - \sin^2 \frac{\pi}{5}}$ or something. I been looking at these proofwiki.org/wiki/Quintuple_Angle_Formulas
Aug
11
revised Number of irreducible quadratic polynomials over a finite field
added 264 characters in body
Aug
11
comment Number of irreducible quadratic polynomials over a finite field
I like your use of "invisible ink" - it's great pedagogical tool.
Aug
11
comment Number of irreducible quadratic polynomials over a finite field
In $\mathbb{F}_2$, there are only 4 possibilities $x^2 , x^2 + 1=(x+1)^2, \color{blue}{x^2 + x + 1}, x^2 + x = x(x+1)$
Aug
11
answered Number of irreducible quadratic polynomials over a finite field
Aug
9
answered Explanation of a method to compute $\sum_{k \le n} k^2$
Jul
31
awarded  Nice Question
Jul
30
revised Why is $\zeta(1+it) \neq 0$ equivalent to the prime number theorem?
added 97 characters in body
Jul
30
asked Why is $\zeta(1+it) \neq 0$ equivalent to the prime number theorem?
Jul
30
accepted Computing the intersection of two arithmetic sequences $(a\mathbb{Z} + b) \cap (c \mathbb{Z} + d)$
Jul
30
asked Computing the intersection of two arithmetic sequences $(a\mathbb{Z} + b) \cap (c \mathbb{Z} + d)$
Jul
29
accepted Can the numbers $2^m 3^n$ have an infinitely long arithmetic sequence?
Jul
29
comment Can the numbers $2^m 3^n$ have an infinitely long arithmetic sequence?
See it's not so easy? Dirichlet's theorem was my motivation for this problem. As for the comments above, proving the natural density is 0 might also be hard.
Jul
29
asked Can the numbers $2^m 3^n$ have an infinitely long arithmetic sequence?
Jul
28
revised If $p$ is a prime number and $p\equiv 1(mod 4)$, (show that) there exist integers $a$ and $b$ such that $a^{2}+b^{2}=p$.
added 48 characters in body
Jul
25
comment Can $O(\sqrt{x})$ be considered $o(x)$?
@user251257 Oh my. What an important question. I guess $\boxed{x \to \infty}$, but $x \to 0$ could be important.