Bourlet's Theorem for the product of differential operators, an application of the operator method and a proof for $\sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}$, that Euler missed, derived from difference equations

arxiv: 1506.06241 · v1 · pith:WHD7BEPTnew · submitted 2015-06-20 · 🧮 math.HO

Bourlet's Theorem for the product of differential operators, an application of the operator method and a proof for sum_(n=1)^(infty)frac{1}{n²}=frac{π²}{6}, that Euler missed, derived from difference equations

Alexander Aycock This is my paper

classification 🧮 math.HO

keywords fracdifferenceequationsinftyproofanotherapplicationbasically

0 comments

read the original abstract

We give another proof for \[ \sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6} \] that basically follows from the theory of difference equations.

This paper has not been read by Pith yet.