Mathematics
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mrtaurho
  • Member for 4 years, 2 months
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  • Germany
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The mathematician does not study pure mathematics because it is useful; [s]he studies it because [s]he delights in it and [s]he delights in it because it is beautiful. - Henri Poincaré

Contact: mrtaurho[at]gmail[dot]com

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Score Newest
answer
22
A Series For the Golden Ratio
Dec 30, 2018
question
20
Show that $\sum\limits_{n\ge1}\frac1{n^2}=\sum\limits_{n\ge1}\frac3{n^2\binom{2n}n}$ without actually evaluating both series
Dec 24, 2018
question
16
A particular vanishing integral
Aug 12, 2019
answer
16
What is the dot in "$1.2.4$"?
Mar 13, 2019
answer
15
How to find $\int_0^{{\pi}/{2}} (\pi x-4x^2)\log(1+\tan x)\mathrm dx$
May 10, 2019
question
14
Evaluate$\int\limits_0^1 [\log(x)\log(1-x)+\operatorname{Li}_2(x)]\left[\frac{\operatorname{Li}_2(x)}{x(1-x)}-\frac{\zeta(2)}{1-x}\right]\mathrm dx$
Dec 14, 2018
question
14
On the integral $I(a)=\int_0^1\frac{\log(a+t^2)}{1+t^2}\mathrm dt$
Nov 11, 2018
answer
13
Is $\int\limits_0^\infty\frac{\sin y}{y^{s+1}}dy=-\Gamma(-s)\sin(\frac{\pi s}{2})$ for $\operatorname{Re}(s)\in (-1,0)$ obvious?
Dec 30, 2018
question
12
Prove that $\int_0^1\frac{\operatorname{Li}_3(1-z)}{\sqrt{z(1-z)}}\mathrm dz=-\frac{\pi^3}{3}\log 2+\frac{4\pi}3\log^3 2+2\pi\zeta(3)$
Oct 5, 2018
answer
12
Can you compute $\int_0^1\frac{\log(x)\log(1-x)}{x}dx$ more precisely than $1.20206$ and do a comparision with $\zeta(3)$?
Apr 26, 2019
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German contest "Bundeswettbewerb Mathematik" $2019$
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tqft or topological-quantum-field-theory? Which one to keep?
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Strange behavior of counters in review queues
3
Requests for Reopen & Undeletion Votes (volume 07/2018 - 12/2020)
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Tikzcd in beamer not working
6
Why is umbral calculus not used more widely?

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