Davide Masi
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  • Italia
  • Member since December 30 2022
  • 497 profile views
  • Last seen Apr 20 '26 at 18:24

Graduate student of Mathematics

My most interesting questions so far:

  1. Proving that the arithmetic-geometric mean of $1$ and $\sqrt{2}$ is $\pi/\varpi$, where $\varpi$ is the lemniscate constant

  2. (with a very elegant answer): Prove that $\sum_{n = 1}^{2160}\exp\left(\pi i\frac{n(n + 1)(2n + 1)}{1080}\right) = 0$

  3. Is writing $f(z)=u(x,y)+i v(x,y)$ a big abuse of notation in complex analysis?