English

$\zeta(5)$ is irrational

Classical Analysis and ODEs 2011-05-11 v2 Number Theory

Abstract

We present an elementary proof of the irrationality of ζ(5)\zeta(5) based upon the Dirichlet's approximation theorem and the Prime Number Theorem.

Cite

@article{arxiv.1105.0730,
  title  = {$\zeta(5)$ is irrational},
  author = {Yong-Cheol Kim},
  journal= {arXiv preprint arXiv:1105.0730},
  year   = {2011}
}
R2 v1 2026-06-21T18:02:31.256Z