Irrationality of ζ(3) #
Source: arxiv:2503.07625, doi:10.1112/blms/11.3.268
Authors: Junqi Liu, Jujian Zhang
Status: verified
Main declarations: LeanPool.Zeta3Irrational.zeta3_irrational
Tags: number-theory, analysis, zeta-functions
MSC: 11M06, 11J72
This project formalizes the integral identities and denominator/positivity/
upper-bound estimates used in Beukers' proof of Apéry's theorem for ζ(3).
It completes the final irrationality contradiction using an elementary Chebyshev
estimate for the least common multiple denominator.