101
reputation
2

Machinato

Do not disturb my circles!

original contributions (listed by own intervention) :

  1. new elementary aproach to Gaussian integral $\int_{0}^{\infty}e^{-x^2}\mathrm{d}x$
  2. another proof of $\sum_{n=1}^{\infty}\frac1{n^3}\frac{\sinh\pi n\sqrt2-\sin\pi n\sqrt2}{{\cosh\pi n\sqrt2}-\cos\pi n\sqrt2}=\frac{\pi^3}{18\sqrt2}$, by the same argument $\sum_{n = 1}^{\infty}\{\coth (n\pi x) + x^{2}\coth(n\pi/x)\}/n^{3}$ is found in closed form

Life is great art gallery of beauty

0.207879576...

Logarithmic spiral

  • Member for 3 years, 2 months
  • 3 profile views
  • Last seen Oct 22 at 7:30