# The Irrationality of ζ(3)

 Title: The Irrationality of ζ(3) Author: Manuel Eberl Submission date: 2019-12-27 Abstract: 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. BibTeX: @article{Zeta_3_Irrational-AFP, author = {Manuel Eberl}, title = {The Irrationality of ζ(3)}, journal = {Archive of Formal Proofs}, month = dec, year = 2019, note = {\url{https://isa-afp.org/entries/Zeta_3_Irrational.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Depends on: E_Transcendental, Prime_Distribution_Elementary, Prime_Number_Theorem Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.