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cactus314
  • Member for 13 years, 3 months
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5 votes
1 answer
658 views

fractal structure of the sum of squares function

1 vote
1 answer
629 views

Do we have a conformal mapping from the regular pentagon to the disk?

0 votes
0 answers
627 views

Show that $J_n(x)$ satisfies Bessel equation $ x^2 \frac{d^2 y}{dx^2} + x \frac{dy}{dx} + (x^2 - n^2)y = 0 $

4 votes
1 answer
620 views

Does Hlawka Inequality follow from Triangle Inequality?

3 votes
2 answers
604 views

A combinatorial proof of Euler's Criterion? $(\tfrac{a}{p})\equiv a^{\frac{p-1}{2}} \text{ mod p}$

13 votes
1 answer
580 views

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

2 votes
1 answer
565 views

radius of convergence of hypergeometric function

0 votes
3 answers
558 views

continued fraction of the roots of $x^2 - \frac{53793390359}{1088391168}x + \frac{823543}{12230590464} = 0$

2 votes
1 answer
557 views

show that $SL(2, \mathbb{Z}) \backslash SL(2, \mathbb{R})$ is not compact

1 vote
0 answers
556 views

Show $ \int_0^\infty \frac{\sin ax \sin bx}{x^2} \, dx = \frac{\pi a}{2} $ if $ a < b$

11 votes
1 answer
542 views

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

2 votes
0 answers
525 views

variants of geometric series

0 votes
1 answer
523 views

Image of lines under the Cayley Transform $z \mapsto \frac{z-1}{z+1}$

1 vote
1 answer
515 views

weak mixing dynamical system but not mixing

0 votes
1 answer
503 views

Abelian vs Holomorphic Differentials vs Quadratic Differentials

5 votes
3 answers
503 views

USAMO 2018: Show that $2(ab+bc+ca) + 4 \min(a^2,b^2,c^2) \geq a^2 + b^2 + c^2$

9 votes
2 answers
495 views

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

3 votes
2 answers
494 views

How to express $ lcm \big( 1, 2, \dots, n \big)$ in terms of factorials $1!, 2!, 3!, \dots, n!$?

2 votes
0 answers
482 views

Huzita Axiom 6 - Computing the Origami Trisection of an Angle

1 vote
1 answer
475 views

show that $ \sum_{pq \leq x} \frac{\log p \log q}{pq (\log p + \log q)} = \log x + O(\log \log x) $

5 votes
1 answer
464 views

Show that $\zeta_K(2) = \frac{\pi^4}{48 \sqrt{2}} $, with $K = \mathbb{Q}(\sqrt{2})$

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
2 answers
459 views

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

3 votes
1 answer
457 views

Does $SL_2(\mathbb{Z}[\sqrt{2}])$ have a finite presentation?

5 votes
1 answer
456 views

Can we define a topology on $\mathbb{R}^2$ using lines instead of circles or squares?

9 votes
3 answers
450 views

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

2 votes
1 answer
450 views

expressing product as Vandermonde determinants

10 votes
2 answers
436 views

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

5 votes
1 answer
435 views

the spectrum and determinant of the Laplacian on $S^3$

3 votes
5 answers
418 views

show that $\sqrt{3} \notin \mathbb{Q}(\sqrt{2})$

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