Question

irreducibility conjecture

score 95 · Answer 1 · 2013-04-23 13:57:43

95

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irreducibility conjecture

Published on 23 Apr 2013 - 13:57

score 586 · Answer 2 · 2013-05-01 00:03:39

586

Views

Is this number theory conjecture known to be true?

Published on 01 May 2013 - 0:03

score 401 · Answer 3 · 2013-05-10 03:33:23

401

Views

Conjecture regarding trapping rational numbers in some special intervals

Published on 10 May 2013 - 3:33

score 179 · Answer 4 · 2013-05-14 13:00:53

179

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Integrate $\int_0^1 \Bigl(\mathrm{Li}_2\bigl(\frac{x-1}{x}\bigr)\Bigr)^2 \mathrm{d}x$

Published on 14 May 2013 - 13:00

score 674 · Answer 5 · 2013-05-23 22:47:55

674

Views

How to prove $4\times{_2F_1}(-1/4,3/4;7/4;(2-\sqrt3)/4)-{_2F_1}(3/4,3/4;7/4;(2-\sqrt3)/4)\stackrel?=\frac{3\sqrt[4]{2+\sqrt3}}{\sqrt2}$

Published on 23 May 2013 - 22:47

score 1.1k · Answer 6 · 2013-05-25 22:49:53

1.1k

Views

How can I prove this closed form for $\sum_{n=1}^\infty\frac{(4n)!}{\Gamma\left(\frac23+n\right)\,\Gamma\left(\frac43+n\right)\,n!^2\,(-256)^n}$

Published on 25 May 2013 - 22:49

score 1.4k · Answer 7 · 2013-05-27 21:26:05

1.4k

Views

How to prove $\int_0^\infty J_\nu(x)^3dx\stackrel?=\frac{\Gamma(1/6)\ \Gamma(1/6+\nu/2)}{2^{5/3}\ 3^{1/2}\ \pi^{3/2}\ \Gamma(5/6+\nu/2)}$?

Published on 27 May 2013 - 21:26

score 926 · Answer 8 · 2013-05-28 02:15:02

926

Views

Is $K\left(\frac{\sqrt{2-\sqrt3}}2\right)\stackrel?=\frac{\Gamma\left(\frac16\right)\Gamma\left(\frac13\right)}{4\ \sqrt[4]3\ \sqrt\pi}$

Published on 28 May 2013 - 2:15

score 1.2k · Answer 9 · 2026-03-25 08:10:56

1.2k

Views

"Goldbach's other conjecture" and Project Euler - writing 1 as a sum of a prime and twice a square

Published on 25 Mar 2026 - 8:10

score 140 · Answer 10 · 2013-06-12 12:07:19

140

Views

Solving a conjecture by bruteforcing

Published on 12 Jun 2013 - 12:07

score 6.2k · Answer 11 · 2013-07-10 22:39:18

6.2k

Views

Why does one counterexample disprove a conjecture?

Published on 10 Jul 2013 - 22:39

score 76 · Answer 12 · 2013-07-21 18:23:49

76

Views

Conjuncting two independent statements

Published on 21 Jul 2013 - 18:23

score 4.8k · Answer 13 · 2013-07-23 12:43:10

4.8k

Views

Erdős-Straus conjecture

Published on 23 Jul 2013 - 12:43

score 190 · Answer 14 · 2013-08-21 23:44:37

190

Views

Approximation to $\pi(x)$ conjecture.

Published on 21 Aug 2013 - 23:44

score 1.5k · Answer 15 · 2026-03-25 22:03:12

1.5k

Views

Weaker Version of "Goldbach's Other Conjecture"

Published on 25 Mar 2026 - 22:03

List Question

irreducibility conjecture

Is this number theory conjecture known to be true?

Conjecture regarding trapping rational numbers in some special intervals

Integrate $\int_0^1 \Bigl(\mathrm{Li}_2\bigl(\frac{x-1}{x}\bigr)\Bigr)^2 \mathrm{d}x$

How to prove $4\times{_2F_1}(-1/4,3/4;7/4;(2-\sqrt3)/4)-{_2F_1}(3/4,3/4;7/4;(2-\sqrt3)/4)\stackrel?=\frac{3\sqrt[4]{2+\sqrt3}}{\sqrt2}$

How can I prove this closed form for $\sum_{n=1}^\infty\frac{(4n)!}{\Gamma\left(\frac23+n\right)\,\Gamma\left(\frac43+n\right)\,n!^2\,(-256)^n}$

How to prove $\int_0^\infty J_\nu(x)^3dx\stackrel?=\frac{\Gamma(1/6)\ \Gamma(1/6+\nu/2)}{2^{5/3}\ 3^{1/2}\ \pi^{3/2}\ \Gamma(5/6+\nu/2)}$?

Is $K\left(\frac{\sqrt{2-\sqrt3}}2\right)\stackrel?=\frac{\Gamma\left(\frac16\right)\Gamma\left(\frac13\right)}{4\ \sqrt[4]3\ \sqrt\pi}$

"Goldbach's other conjecture" and Project Euler - writing 1 as a sum of a prime and twice a square

Solving a conjecture by bruteforcing

Why does one counterexample disprove a conjecture?

Conjuncting two independent statements

Erdős-Straus conjecture

Approximation to $\pi(x)$ conjecture.

Weaker Version of "Goldbach's Other Conjecture"

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