Question

A difficult logarithmic integral and its relation to alternating Euler Sums

score 456 · Answer 1 · 2026-03-25 02:59:23

456

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A difficult logarithmic integral and its relation to alternating Euler Sums

Published on 25 Mar 2026 - 2:59

score 240 · Answer 2 · 2026-03-25 12:54:34

240

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The mysterious numbers $ \frac{13}{20} $ and $20$?

Published on 25 Mar 2026 - 12:54

score 903 · Answer 3 · 2026-03-25 17:40:46

903

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How to compute $\sum_{n=1}^\infty\frac{H_n^2}{n^32^n}$?

Published on 25 Mar 2026 - 17:40

score 28 · Answer 4 · 2019-08-30 11:56:27

28

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Simpler expression for an operation on an ordered set

Published on 30 Aug 2019 - 11:56

score 182 · Answer 5 · 2019-09-01 01:58:24

182

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Evaluate $\int_0^{\infty } \frac{x^2 \tanh \left(x^2\right)}{\cosh \left(x^2\right)} \, dx$

Published on 01 Sep 2019 - 1:58

score 64 · Answer 6 · 2019-09-01 20:17:12

64

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Find the asymptotic form as $N \rightarrow \infty$ of $\sum_{a = 1}^{N} \sum_{u = 1}^{a - 2} \sum_{v = u + 1}^{a - 1} {\delta}_{N = u\, a + v}$

Published on 01 Sep 2019 - 20:17

score 948 · Answer 7 · 2019-09-04 11:34:46

948

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How to compute the Riemann zeta function at negative integers?

Published on 04 Sep 2019 - 11:34

score 35 · Answer 8 · 2019-09-07 15:48:19

35

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Can this recurrence be simplified?

Published on 07 Sep 2019 - 15:48

score 39 · Answer 9 · 2019-09-08 13:36:02

39

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Do all convex sets have a closed form expression for their boundary?

Published on 08 Sep 2019 - 13:36

score 320 · Answer 10 · 2019-09-09 09:47:31

320

Views

Prove that $\int_0^1 \frac{x^2}{\sqrt{x^4+1}} \, dx=\frac{\sqrt{2}}{2}-\frac{\pi ^{3/2}}{\Gamma \left(\frac{1}{4}\right)^2}$

Published on 09 Sep 2019 - 9:47

score 224 · Answer 11 · 2019-09-12 18:04:14

224

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Does closed-form solution of $e^{-x}=-\sin(x)$ exist?

Published on 12 Sep 2019 - 18:04

score 139 · Answer 12 · 2019-09-12 20:09:29

139

Views

Closed form for series of multiple sums

Published on 12 Sep 2019 - 20:09

score 214 · Answer 13 · 2026-03-25 03:24:18

214

Views

Function series involving Hermite Polynomials

Published on 25 Mar 2026 - 3:24

score 166 · Answer 14 · 2019-09-19 08:48:31

166

Views

Calculate $\lim_{t\to\infty}\left(‎\sum_{m=1}^{t}‎\left(\frac{(\pi ‎\xi‎)^{2m-1}}{(2m-1)!}\;‎\frac{1}{1-2^{‎\beta‎-2t+2m-2}}\right)‎\right)$

Published on 19 Sep 2019 - 8:48

score 46 · Answer 15 · 2026-03-25 19:03:28

46

Views

Largest and smallest number that has k less digits in next number base

Published on 25 Mar 2026 - 19:03

List Question

A difficult logarithmic integral and its relation to alternating Euler Sums

The mysterious numbers $ \frac{13}{20} $ and $20$?

How to compute $\sum_{n=1}^\infty\frac{H_n^2}{n^32^n}$?

Simpler expression for an operation on an ordered set

Evaluate $\int_0^{\infty } \frac{x^2 \tanh \left(x^2\right)}{\cosh \left(x^2\right)} \, dx$

Find the asymptotic form as $N \rightarrow \infty$ of $\sum_{a = 1}^{N} \sum_{u = 1}^{a - 2} \sum_{v = u + 1}^{a - 1} {\delta}_{N = u\, a + v}$

How to compute the Riemann zeta function at negative integers?

Can this recurrence be simplified?

Do all convex sets have a closed form expression for their boundary?

Prove that $\int_0^1 \frac{x^2}{\sqrt{x^4+1}} \, dx=\frac{\sqrt{2}}{2}-\frac{\pi ^{3/2}}{\Gamma \left(\frac{1}{4}\right)^2}$

Does closed-form solution of $e^{-x}=-\sin(x)$ exist?

Closed form for series of multiple sums

Function series involving Hermite Polynomials

Calculate $\lim_{t\to\infty}\left(‎\sum_{m=1}^{t}‎\left(\frac{(\pi ‎\xi‎)^{2m-1}}{(2m-1)!}\;‎\frac{1}{1-2^{‎\beta‎-2t+2m-2}}\right)‎\right)$

Largest and smallest number that has k less digits in next number base

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