Question

When $\cos(\theta) = 1/8$ it's easy to show $\theta$ is an irrational angle. Is it algebraic?

score 1.9k · Answer 1 · 2026-03-26 17:34:33

1.9k

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When $\cos(\theta) = 1/8$ it's easy to show $\theta$ is an irrational angle. Is it algebraic?

Published on 26 Mar 2026 - 17:34

score 40 · Answer 2 · 2015-08-10 17:35:02

40

Views

Is this true :${(a+ib)}^{(k+ij)}=0$ iff $0<a=k<1$ and $b<j$?

Published on 10 Aug 2015 - 17:35

score 106 · Answer 3 · 2015-08-24 14:11:14

106

Views

Rationality or irrationality of $\log$ function

Published on 24 Aug 2015 - 14:11

score 545 · Answer 4 · 2026-03-27 00:04:50

545

Views

Constructive proof of transcendence of $e$ and $\pi$?

Published on 27 Mar 2026 - 0:04

score 58 · Answer 5 · 2015-09-13 01:18:53

58

Views

Is $2^e$ in the field extension $\mathbb{Q}(e)$?

Published on 13 Sep 2015 - 1:18

score 4.7k · Answer 6 · 2015-09-20 12:34:24

4.7k

Views

Random irrational number generator?

Published on 20 Sep 2015 - 12:34

score 57 · Answer 7 · 2015-09-21 14:12:27

57

Views

A simple(?) query about algebraic independence

Published on 21 Sep 2015 - 14:12

score 3.2k · Answer 8 · 2026-03-26 17:52:33

3.2k

Views

Is the golden ratio a transcedental number?

Published on 26 Mar 2026 - 17:52

score 3.1k · Answer 9 · 2015-09-30 09:05:37

3.1k

Views

Is there a pythagorean triple such that all angles of the corresponding triangle are simple fractions of $\pi$?

Published on 30 Sep 2015 - 9:05

score 38 · Answer 10 · 2015-10-02 15:43:20

38

Views

Let $a$ and $n$ be integers, such that $a,n>1$ and $n$ is not a perfect square; show that: $a^{\sqrt{n}}$ is a transcendental number.

Published on 02 Oct 2015 - 15:43

score 182 · Answer 11 · 2015-10-03 15:49:48

182

Views

Is the series: $\frac{\pi}{p_{1}!}+\frac{\pi}{p_{2}!}+...+\frac{\pi}{p_{n}!}$ convergent or divergent, where $p_n$ is the $n$-th odd prime?

Published on 03 Oct 2015 - 15:49

score 421 · Answer 12 · 2015-10-08 04:10:01

421

Views

Power of transcendental number.

Published on 08 Oct 2015 - 4:10

score 529 · Answer 13 · 2026-03-02 04:22:31

529

Views

Determine a number is transcendental/algebraic

Published on 02 Mar 2026 - 4:22

score 122 · Answer 14 · 2026-03-01 09:47:49

122

Views

To prove that element $\frac{3}{n}+i\frac{4}{5}$ has an infinite order in $\mathbb{C}$ for any $n\in\mathbb{Z}\backslash \{0\}$

Published on 01 Mar 2026 - 9:47

score 8k · Answer 15 · 2026-03-18 23:53:40

8k

Views

Is there a function whose limit approaches Pi?

Published on 18 Mar 2026 - 23:53

List Question

When $\cos(\theta) = 1/8$ it's easy to show $\theta$ is an irrational angle. Is it algebraic?

Is this true :${(a+ib)}^{(k+ij)}=0$ iff $0<a=k<1$ and $b<j$?

Rationality or irrationality of $\log$ function

Constructive proof of transcendence of $e$ and $\pi$?

Is $2^e$ in the field extension $\mathbb{Q}(e)$?

Random irrational number generator?

A simple(?) query about algebraic independence

Is the golden ratio a transcedental number?

Is there a pythagorean triple such that all angles of the corresponding triangle are simple fractions of $\pi$?

Let $a$ and $n$ be integers, such that $a,n>1$ and $n$ is not a perfect square; show that: $a^{\sqrt{n}}$ is a transcendental number.

Is the series: $\frac{\pi}{p_{1}!}+\frac{\pi}{p_{2}!}+...+\frac{\pi}{p_{n}!}$ convergent or divergent, where $p_n$ is the $n$-th odd prime?

Power of transcendental number.

Determine a number is transcendental/algebraic

To prove that element $\frac{3}{n}+i\frac{4}{5}$ has an infinite order in $\mathbb{C}$ for any $n\in\mathbb{Z}\backslash \{0\}$

Is there a function whose limit approaches Pi?

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