Question

Dilogarithm identity containing the tribonacci constant

score 503 · Answer 1 · 2026-03-27 17:04:57

503

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Dilogarithm identity containing the tribonacci constant

Published on 27 Mar 2026 - 17:04

score 1.3k · Answer 2 · 2015-09-16 17:54:45

1.3k

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Closed-form of $\int_0^1 \frac{\ln^2(x)}{\sqrt{x(a-bx)}}\,dx$

Published on 16 Sep 2015 - 17:54

score 413 · Answer 3 · 2026-03-27 17:05:09

413

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Simplifying a certain polylogarithmic sum in two variables

Published on 27 Mar 2026 - 17:05

score 65 · Answer 4 · 2015-09-17 20:00:25

65

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What is the analytic representation of $\sum_{n=0}^\infty \frac{ a^nx^n}{n!}$?

Published on 17 Sep 2015 - 20:00

score 350 · Answer 5 · 2015-09-18 14:35:29

350

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Prove that $\int_0^\infty\frac{x\cos(x)-\sin(x)}{x\left({e^x}-1\right)}\,dx = \frac{\pi}2+\arg\left(\Gamma(i)\right)-\Re\left(\psi_0(i)\right)$

Published on 18 Sep 2015 - 14:35

score 4.6k · Answer 6 · 2026-03-27 10:44:43

4.6k

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Finding the general formula of a sequence: $3,8,23,68,203,608,\cdots$

Published on 27 Mar 2026 - 10:44

score 83 · Answer 7 · 2026-03-27 12:17:33

83

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Is there a way to write $\dots 2(2(2(2+1)-1)+1)-1 \dots$ in closed form?

Published on 27 Mar 2026 - 12:17

score 80 · Answer 8 · 2015-09-23 19:12:49

80

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closed form for the following integral which is similar to Laplace transform

Published on 23 Sep 2015 - 19:12

score 456 · Answer 9 · 2026-03-27 17:04:24

456

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A special value polylogarithm identity involving $\text{Li}_3(-1/2),\,\text{Li}_3(-1/3),\,\text{Li}_3(2/3),\,\text{Li}_2(-1/3),\,\text{Li}_2(2/3)$

Published on 27 Mar 2026 - 17:04

score 829 · Answer 10 · 2026-04-01 13:43:38

829

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Find the solution of $\lfloor{x^2}\rfloor−\lfloor{3x}\rfloor+2=0$

Published on 01 Apr 2026 - 13:43

score 1.5k · Answer 11 · 2015-09-27 08:50:49

1.5k

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Closed form of $\int_0^{\pi/2}x^{n}\ln{(\sin x)}dx $

Published on 27 Sep 2015 - 8:50

score 85 · Answer 12 · 2015-09-28 04:58:45

85

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Need help finding the closed form of a sequence based upon the fibonacci sequence.

Published on 28 Sep 2015 - 4:58

score 1k · Answer 13 · 2026-03-29 11:08:18

1k

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Why is there no general form for the harmonic numbers?

Published on 29 Mar 2026 - 11:08

score 1.7k · Answer 14 · 2015-09-29 19:15:55

1.7k

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Climbing a n-stair staircase, taking 2 or 3 stairs each step...

Published on 29 Sep 2015 - 19:15

score 313 · Answer 15 · 2026-03-25 14:35:55

313

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The groupoid cardinality of $\mathbb{F}_q$-vector spaces $\sum_{n=0}^{\infty} \, \bigl(\prod_{i=0}^{n-1} q^n-q^i\bigr)^{-1}$

Published on 25 Mar 2026 - 14:35

List Question

Dilogarithm identity containing the tribonacci constant

Closed-form of $\int_0^1 \frac{\ln^2(x)}{\sqrt{x(a-bx)}}\,dx$

Simplifying a certain polylogarithmic sum in two variables

What is the analytic representation of $\sum_{n=0}^\infty \frac{ a^nx^n}{n!}$?

Prove that $\int_0^\infty\frac{x\cos(x)-\sin(x)}{x\left({e^x}-1\right)}\,dx = \frac{\pi}2+\arg\left(\Gamma(i)\right)-\Re\left(\psi_0(i)\right)$

Finding the general formula of a sequence: $3,8,23,68,203,608,\cdots$

Is there a way to write $\dots 2(2(2(2+1)-1)+1)-1 \dots$ in closed form?

closed form for the following integral which is similar to Laplace transform

A special value polylogarithm identity involving $\text{Li}_3(-1/2),\,\text{Li}_3(-1/3),\,\text{Li}_3(2/3),\,\text{Li}_2(-1/3),\,\text{Li}_2(2/3)$

Find the solution of $\lfloor{x^2}\rfloor−\lfloor{3x}\rfloor+2=0$

Closed form of $\int_0^{\pi/2}x^{n}\ln{(\sin x)}dx $

Need help finding the closed form of a sequence based upon the fibonacci sequence.

Why is there no general form for the harmonic numbers?

Climbing a n-stair staircase, taking 2 or 3 stairs each step...

The groupoid cardinality of $\mathbb{F}_q$-vector spaces $\sum_{n=0}^{\infty} \, \bigl(\prod_{i=0}^{n-1} q^n-q^i\bigr)^{-1}$

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