Question

For $n\geq 1$, $\sum_{k=0}^{\infty}\frac{(-1)^{k}(nk+1)^{3}}{(k+1)^6}$ in terms of $\zeta(3)$ and $\zeta(5)$ from a series calculator. Is possible?

score 70 · Answer 1 · 2015-12-18 13:52:24

70

Views

For $n\geq 1$, $\sum_{k=0}^{\infty}\frac{(-1)^{k}(nk+1)^{3}}{(k+1)^6}$ in terms of $\zeta(3)$ and $\zeta(5)$ from a series calculator. Is possible?

Published on 18 Dec 2015 - 13:52

score 756 · Answer 2 · 2026-02-25 15:41:01

756

Views

Can you compute $\int_0^1\frac{\log(x)\log(1-x)}{x}dx$ more precisely than $1.20206$ and do a comparision with $\zeta(3)$?

Published on 25 Feb 2026 - 15:41

score 45 · Answer 3 · 2015-12-24 03:25:34

45

Views

Formal construction of line and surface integrals

Published on 24 Dec 2015 - 3:25

score 82 · Answer 4 · 2015-12-24 03:57:49

82

Views

Are there resources for "derivations"?

Published on 24 Dec 2015 - 3:57

score 30 · Answer 5 · 2015-12-30 21:24:10

30

Views

where to find good review resources?

Published on 30 Dec 2015 - 21:24

score 541 · Answer 6 · 2016-01-09 23:07:29

541

Views

What are some good resources to review basic university calculus, years later?

Published on 09 Jan 2016 - 23:07

score 511 · Answer 7 · 2026-03-27 21:17:35

511

Views

Automatic solver of four-color theorem?

Published on 27 Mar 2026 - 21:17

score 454 · Answer 8 · 2026-03-27 20:30:41

454

Views

Reference/Literature on Cantor Sets

Published on 27 Mar 2026 - 20:30

score 323 · Answer 9 · 2016-01-21 14:16:38

323

Views

What about $\lim_{x\to 1}\left(\zeta(x)-\frac{1}{x^x-1}\right)=1+\gamma$?

Published on 21 Jan 2016 - 14:16

score 602 · Answer 10 · 2016-02-03 17:08:51

602

Views

Category Theory Zoo

Published on 03 Feb 2016 - 17:08

score 457 · Answer 11 · 2016-02-08 03:27:33

457

Views

Series of video lectures on the subject of Complex Analysis

Published on 08 Feb 2016 - 3:27

score 496 · Answer 12 · 2016-02-11 10:07:39

496

Views

Proof of Bernoulli's' result on a construction to divide any triangle into four equal parts with two perpendicular lines.

Published on 11 Feb 2016 - 10:07

score 5.1k · Answer 13 · 2026-03-27 11:46:32

5.1k

Views

Can $e^{ax}$ be said to be the eigenfunction of the operator $\frac{d^{(n)}}{dx}$?

Published on 27 Mar 2026 - 11:46

score 1.4k · Answer 14 · 2016-02-26 15:00:24

1.4k

Views

Suggestion on a book on Measure Theory

Published on 26 Feb 2016 - 15:00

score 76 · Answer 15 · 2016-03-03 17:31:52

76

Views

Are there any online sources/books that could help me further study set theory?

Published on 03 Mar 2016 - 17:31

List Question

For $n\geq 1$, $\sum_{k=0}^{\infty}\frac{(-1)^{k}(nk+1)^{3}}{(k+1)^6}$ in terms of $\zeta(3)$ and $\zeta(5)$ from a series calculator. Is possible?

Can you compute $\int_0^1\frac{\log(x)\log(1-x)}{x}dx$ more precisely than $1.20206$ and do a comparision with $\zeta(3)$?

Formal construction of line and surface integrals

Are there resources for "derivations"?

where to find good review resources?

What are some good resources to review basic university calculus, years later?

Automatic solver of four-color theorem?

Reference/Literature on Cantor Sets

What about $\lim_{x\to 1}\left(\zeta(x)-\frac{1}{x^x-1}\right)=1+\gamma$?

Category Theory Zoo

Series of video lectures on the subject of Complex Analysis

Proof of Bernoulli's' result on a construction to divide any triangle into four equal parts with two perpendicular lines.

Can $e^{ax}$ be said to be the eigenfunction of the operator $\frac{d^{(n)}}{dx}$?

Suggestion on a book on Measure Theory

Are there any online sources/books that could help me further study set theory?

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