Documentation

LeanPool.Zeta3Irrational

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.