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{http://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