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cactus314
  • Member for 13 years, 3 months
  • Last seen more than a month ago
50 votes
3 answers
65k views

block matrix multiplication

32 votes
1 answer
10k views

$\pi^4 + \pi^5 \approx e^6$ is anything special going on here?

27 votes
1 answer
978 views

$\det\left(6(A^3+B^3+C^3)+I_{2}\right)\ge 5^2\det(A^2+B^2+C^2)$ for $2 \times 2$ matrices

22 votes
1 answer
2k views

Why is $\zeta(1+it) \neq 0$ equivalent to the prime number theorem?

13 votes
1 answer
580 views

Is there a special value for $\frac{\zeta'(2)}{\zeta(2)} $?

13 votes
2 answers
176 views

Show that $\mathrm{SO}_3(\mathbb{Q}_p) \simeq \mathrm{SL}_2(\mathbb{Q}_p) $

12 votes
3 answers
1k views

How do primes split in $\mathbb{Z}[\sqrt[3]{2}]$?

11 votes
4 answers
6k views

circle tangent to three circles

11 votes
2 answers
335 views

show that $ \limsup n\; | \;\{ (n+1)^2 \sqrt{2}\} - \{ n^2 \sqrt{2}\}\; | = \infty $

11 votes
1 answer
346 views

Can Fermat's Two Squares Theorem be phrased in terms of Schemes?

11 votes
1 answer
542 views

Visualizing Euclidean Algorithm in $\mathbb{Q}(\sqrt{-7})$ and $\mathbb{Q}(\sqrt{-11})$ with Convex Geometry

10 votes
2 answers
459 views

Cauchy-Ramanujan Formula $ \displaystyle \sum_{\stackrel{m \in \mathbb{Z}}{m \neq 0}} \frac{\coth m \pi}{m^{4p+3}} $

10 votes
2 answers
326 views

How to estimate $ \left(1 + \sqrt{2} + \sqrt{3} + \dots + \sqrt{n} \right) - \frac{2}{3} n \sqrt{n}$?

10 votes
1 answer
297 views

Translation of a certain proof of $(\sum k)^2 = \sum k^3 $

10 votes
2 answers
379 views

What is the minimum polynomial of $x = \sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{6} = \cot (7.5^\circ)$?

10 votes
3 answers
460 views

Is the curve $ z = e^{i\theta}\left(\frac{7}{8} + \frac{1}{4} e^{6i\theta}\right) $ algebraic?

10 votes
4 answers
750 views

Find all $x,y,z$ such that $x^2 + y^2 + z^2 = 3^{10}$

10 votes
2 answers
436 views

How does 11 split in the ring $\mathbb{Z}[\sqrt[3]{2}]$

10 votes
2 answers
232 views

Solve $ \binom{a}{2} + \binom{b}{2} = \binom{c}{2} $ with $a,b,c \in \mathbb{Z}$

9 votes
2 answers
495 views

Is $ \sqrt{2}$ an element of $ \mathbb{Q} ( \cos 72^\circ ) $?

9 votes
2 answers
207 views

Find the continued fraction digits of $\sqrt{3+i} \notin \mathbb{Q}(i)$

9 votes
2 answers
330 views

Solve $a^2 - 2b^2 - 3 c^2 + 6 d^2 =1 $ over integers $a,b,c,d \in \mathbb{Z}$

9 votes
1 answer
1k views

what is an ∞-group?

9 votes
5 answers
951 views

How long until a random word with letters "A", "B", "C" ends in the pattern "ABC"?

9 votes
1 answer
199 views

How many squares can be made from points on $ z(t) = e^{2\pi i\, t} + \frac{1}{\sqrt{3}} e^{2\pi i\, 3t} $?

9 votes
6 answers
816 views

Is the series $\sqrt{1} - \sqrt{2} + \sqrt{3} - \sqrt{4} + \dots$ summable?

9 votes
1 answer
329 views

$\sqrt{2} \notin \mathbb{Q}$ and Galois Cohomology

9 votes
3 answers
450 views

What is $\frac{1}{1+\sqrt[3]{2}}$ in $\mathbb{Q}(\sqrt[3]{2})$?

9 votes
3 answers
1k views

Prove there are infinitely many primes in $\mathbb{Z}[i]$

9 votes
2 answers
2k views

Proof of Conway's "Simplicity Rule" for Surreal Numbers

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