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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 |
| 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. |
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