User cactus314

4 votes

1 answer

137 views

What is $\int x^4 \, d\mu_p$ on the circle $\{ x^2 + y^2 = 1 \}$ respect to Haar measure on $\mathbb{Q}_p$?

asked Jul 5, 2018 at 11:03

5 votes

0 answers

182 views

Which primes $\mathfrak{p}$ can be written as sums of two squares in $\mathbb{Q}(\sqrt[3]{2})$?

asked Jul 4, 2018 at 14:18

5 votes

2 answers

789 views

ideals in $\mathbb{Q}(\sqrt{-5})$ with norm less than $100$?

asked Jul 3, 2018 at 17:20

4 votes

1 answer

111 views

Show that $V_2 = V_1 \otimes V_1$

asked Jun 20, 2018 at 13:05

5 votes

1 answer

218 views

Can we find Gaussian primes $\pi = 1 + 8 \mathbb{Z}[i]$ with $N(\pi) < 1000$?

asked May 23, 2018 at 14:11

5 votes

3 answers

504 views

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

asked May 16, 2018 at 12:26

9 votes

2 answers

210 views

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

asked May 3, 2018 at 11:58

0 votes

1 answer

112 views

Evaluating $\zeta(4)$ using iterated integrals

asked Apr 17, 2018 at 15:33

3 votes

0 answers

111 views

How to factor $5$ in $\mathbb{Q}[\sqrt[3]{2}]$? [duplicate]

asked Apr 14, 2018 at 22:39

2 votes

0 answers

37 views

polynomial or rational function example of homoclinic orbit $f:S^3 \to S^3$?

asked Apr 14, 2018 at 18:54

1 vote

2 answers

131 views

How are the sheets of $y^3 = x(x-1)(x+1)$ arranged?

asked Apr 10, 2018 at 22:56

2 votes

0 answers

62 views

show that $[n \sqrt{3}]$ is an approximate group

asked Apr 4, 2018 at 11:14

6 votes

2 answers

116 views

What is the dimension of the set generated by $z \mapsto z + 1$ and $z \mapsto \frac{z}{1+z}$?

asked Apr 3, 2018 at 14:23

4 votes

0 answers

153 views

Show that $|A+A| < 2.5 |A| $ with $A = \{ [n \sqrt{2}] : 1 \leq n \leq N \}$

asked Apr 2, 2018 at 13:52

0 votes

0 answers

93 views

degrees of line bundles over $y^2 = x^3 + 1$

asked Mar 29, 2018 at 20:04

7 votes

2 answers

1k views

What are the units in $\mathbb{Q}(\sqrt{2}, \sqrt{3})$?

asked Mar 29, 2018 at 16:17

3 votes

2 answers

102 views

How do we count solutions of $a^2 + b^2 + c^2\equiv n\pmod p$?

asked Mar 28, 2018 at 13:28

0 votes

0 answers

58 views

Domino tilings of a $2 \times 10$ rectangle with notches

asked Mar 25, 2018 at 17:34

7 votes

1 answer

208 views

Are there real numbers such that $ \frac{1}{\sqrt{8}}< \liminf n^2 \left| \xi - \frac{m}{n}\right|< \frac{1}{\sqrt{5}} $?

asked Mar 25, 2018 at 0:13

0 votes

0 answers

290 views

Find coset representatives for $ \Gamma_0(2) \, \left( \begin{array}{cc} 1 & \frac{1}{5} \\ 0 & 1\end{array} \right) \, \Gamma_0(2)$

asked Mar 24, 2018 at 15:48

1 vote

1 answer

632 views

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

asked Mar 23, 2018 at 15:37

10 votes

2 answers

441 views

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

asked Mar 21, 2018 at 14:58

0 votes

1 answer

57 views

Change of basis between $\mathbb{Q}(\sqrt{2}+ \sqrt{3})$ and $\mathbb{Q}(\sqrt{2}, \sqrt{3}) $

asked Mar 19, 2018 at 18:02

12 votes

3 answers

1k views

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

asked Mar 19, 2018 at 11:25

0 votes

0 answers

179 views

What is the genus of the Riemann Surface $ w = z \,(\,1 + 0.5\, z^4\,) $?

asked Mar 18, 2018 at 16:07

2 votes

1 answer

170 views

How to represent $ \int_0^t B_s \, dB_s$ as the limit of a discrete sum?

asked Mar 17, 2018 at 13:23

2 votes

1 answer

89 views

How to visualize the elements of $\mathbb{Z}[\sqrt{2}]^\times / \langle 1 + \sqrt{2} \rangle $

asked Mar 16, 2018 at 14:56

3 votes

1 answer

465 views

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

asked Feb 18, 2018 at 17:05

1 vote

1 answer

356 views

compute $ \operatorname{Spec}\mathbb{Z}[x,y]/(x^2+y^2-n) $

asked Feb 13, 2018 at 20:40

1 vote

1 answer

141 views

Find $\frac{a}{b} \in \mathbb{Q}$ such that $ |\,\frac{a}{b} - \sqrt{2}|_3 < \epsilon $

asked Jan 31, 2018 at 2:06

Stack Exchange Network

406 Questions

What is $\int x^4 \, d\mu_p$ on the circle $\{ x^2 + y^2 = 1 \}$ respect to Haar measure on $\mathbb{Q}_p$?

Which primes $\mathfrak{p}$ can be written as sums of two squares in $\mathbb{Q}(\sqrt[3]{2})$?

ideals in $\mathbb{Q}(\sqrt{-5})$ with norm less than $100$?

Show that $V_2 = V_1 \otimes V_1$

Can we find Gaussian primes $\pi = 1 + 8 \mathbb{Z}[i]$ with $N(\pi) < 1000$?

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

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

Evaluating $\zeta(4)$ using iterated integrals

How to factor $5$ in $\mathbb{Q}[\sqrt[3]{2}]$? [duplicate]

polynomial or rational function example of homoclinic orbit $f:S^3 \to S^3$?

How are the sheets of $y^3 = x(x-1)(x+1)$ arranged?

show that $[n \sqrt{3}]$ is an approximate group

What is the dimension of the set generated by $z \mapsto z + 1$ and $z \mapsto \frac{z}{1+z}$?

Show that $|A+A| < 2.5 |A| $ with $A = \{ [n \sqrt{2}] : 1 \leq n \leq N \}$

degrees of line bundles over $y^2 = x^3 + 1$

What are the units in $\mathbb{Q}(\sqrt{2}, \sqrt{3})$?

How do we count solutions of $a^2 + b^2 + c^2\equiv n\pmod p$?

Domino tilings of a $2 \times 10$ rectangle with notches

Are there real numbers such that $ \frac{1}{\sqrt{8}}< \liminf n^2 \left| \xi - \frac{m}{n}\right|< \frac{1}{\sqrt{5}} $?

Find coset representatives for $ \Gamma_0(2) \, \left( \begin{array}{cc} 1 & \frac{1}{5} \\ 0 & 1\end{array} \right) \, \Gamma_0(2)$

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

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

Change of basis between $\mathbb{Q}(\sqrt{2}+ \sqrt{3})$ and $\mathbb{Q}(\sqrt{2}, \sqrt{3}) $

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

What is the genus of the Riemann Surface $ w = z \,(\,1 + 0.5\, z^4\,) $?

How to represent $ \int_0^t B_s \, dB_s$ as the limit of a discrete sum?

How to visualize the elements of $\mathbb{Z}[\sqrt{2}]^\times / \langle 1 + \sqrt{2} \rangle $

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

compute $ \operatorname{Spec}\mathbb{Z}[x,y]/(x^2+y^2-n) $

Find $\frac{a}{b} \in \mathbb{Q}$ such that $ |\,\frac{a}{b} - \sqrt{2}|_3 < \epsilon $