Question

When is $\sin(\frac{\pi}{p}) $ not expressible by "real radicals" and $\sin(\frac{\pi}{q_i}) $?

score 72 · Answer 1 · 2026-03-28 06:59:52

72

Views

When is $\sin(\frac{\pi}{p}) $ not expressible by "real radicals" and $\sin(\frac{\pi}{q_i}) $?

Published on 28 Mar 2026 - 6:59

score 596 · Answer 2 · 2026-03-26 04:53:46

596

Views

Evaluation of $\int_0^1\frac{\log x\,dx}{\sqrt{x(1-x)(1-cx)}}$

Published on 26 Mar 2026 - 4:53

score 87 · Answer 3 · 2026-03-25 16:01:12

87

Views

Do closed form expressions exist for $\int_0^1 \theta_3(x)\,dx$?

Published on 25 Mar 2026 - 16:01

score 63 · Answer 4 · 2023-02-17 18:56:55

63

Views

$\sum_{r=1}^\infty r^{-r}$?

Published on 17 Feb 2023 - 18:56

score 92 · Answer 5 · 2026-03-26 09:40:32

92

Views

summation of $3^k$

Published on 26 Mar 2026 - 9:40

score 91 · Answer 6 · 2023-02-19 22:41:43

91

Views

Is there a closed form of the logarithmic infinite series $\sum_{n=0}^\infty x^n\log(1+x^n)$?

Published on 19 Feb 2023 - 22:41

score 53 · Answer 7 · 2026-03-27 07:49:26

53

Views

What's the average dimension of the Cantor sets?

Published on 27 Mar 2026 - 7:49

score 101 · Answer 8 · 2026-03-26 04:49:46

101

Views

A certain sum of multinomial coefficients

Published on 26 Mar 2026 - 4:49

score 81 · Answer 9 · 2026-02-23 11:53:37

81

Views

True or false: For continuous random variable $X$, if $E(X)$ has a closed form, then $P(X<E(X))$ has a closed form.

Published on 23 Feb 2026 - 11:53

score 66 · Answer 10 · 2023-02-26 07:51:43

66

Views

Is there a closed form of $\sum\limits_{r=0}^n \binom{n-r}{r}x^r$?

Published on 26 Feb 2023 - 7:51

score 127 · Answer 11 · 2026-03-28 06:59:51

127

Views

$\sin(\frac{\pi}{p}) $ not expressible by positive radicals and $\sin(\frac{\pi}{q_i})$ ??

Published on 28 Mar 2026 - 6:59

score 476 · Answer 12 · 2026-03-26 08:23:02

476

Views

Evaluate $\int_{0}^{\pi/2} \ln\left[ \tan\left ( \frac{\theta}{2}\right) \right ]^2 K\left ( \sin\theta \right )\text{d}\theta$

Published on 26 Mar 2026 - 8:23

score 99 · Answer 13 · 2026-03-26 11:01:14

99

Views

Closed form of series $\sum_{n=\frac {1}{2}}^{\infty}\Gamma (1-s,xn)e^{xn}n^{s-1}$

Published on 26 Mar 2026 - 11:01

score 158 · Answer 14 · 2026-03-24 22:57:39

158

Views

Sum of $n$ degree derivatives taken w.r.t. different combinations of arguments

Published on 24 Mar 2026 - 22:57

score 148 · Answer 15 · 2026-03-26 01:23:31

148

Views

Number of connected components for the filled julia set of $z^2 + c z^5$

Published on 26 Mar 2026 - 1:23

List Question

When is $\sin(\frac{\pi}{p}) $ not expressible by "real radicals" and $\sin(\frac{\pi}{q_i}) $?

Evaluation of $\int_0^1\frac{\log x\,dx}{\sqrt{x(1-x)(1-cx)}}$

Do closed form expressions exist for $\int_0^1 \theta_3(x)\,dx$?

$\sum_{r=1}^\infty r^{-r}$?

summation of $3^k$

Is there a closed form of the logarithmic infinite series $\sum_{n=0}^\infty x^n\log(1+x^n)$?

What's the average dimension of the Cantor sets?

A certain sum of multinomial coefficients

True or false: For continuous random variable $X$, if $E(X)$ has a closed form, then $P(X<E(X))$ has a closed form.

Is there a closed form of $\sum\limits_{r=0}^n \binom{n-r}{r}x^r$?

$\sin(\frac{\pi}{p}) $ not expressible by positive radicals and $\sin(\frac{\pi}{q_i})$ ??

Evaluate $\int_{0}^{\pi/2} \ln\left[ \tan\left ( \frac{\theta}{2}\right) \right ]^2 K\left ( \sin\theta \right )\text{d}\theta$

Closed form of series $\sum_{n=\frac {1}{2}}^{\infty}\Gamma (1-s,xn)e^{xn}n^{s-1}$

Sum of $n$ degree derivatives taken w.r.t. different combinations of arguments

Number of connected components for the filled julia set of $z^2 + c z^5$

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