The Irrationality of Ζ(3)

Manuel Eberl 🌐

December 27, 2019

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.


This article provides a formalisation of Beukers's straightforward analytic proof that ζ(3) is irrational. This was first proven by Apéry (which is why this result is also often called ‘Apéry's Theorem’) using a more algebraic approach. This formalisation follows Filaseta's presentation of Beukers's proof.


BSD License


Session Zeta_3_Irrational