# Looking for a proof that $\pi$ is irrational using a series representation for it

I'm searching for a proof that $$\pi$$ is irrational using a series representation for $$\pi$$, but can't find it.
However, on this wikipedia page show's that Apery's proof on the irrationality of $$\zeta(3)$$ can be simplified to apply on $$\zeta(2)$$ which is better than what i'm looking for because it shows that $$\pi^2$$ is irrational. But I can't find this proof either. If it's was done, maybe no one ever published.
• Check out van der Poorten's survey on Apery's proof "A proof that Euler missed" in Math. Intelligencer, as far as I remember it does $\zeta(2)$ as well. – Piotr Achinger May 16 at 3:33
Beukers gave a proof of the irrationality of $$\zeta(2)$$ and $$\zeta(3)$$ using Apery's ideas, expressed in integral form here. This was published in 1979.