{"id":"lean/anthropics__formal-math__zeta23","url":"https://github.com/anthropics/formal-math/tree/main/zeta23","repo":"https://github.com/anthropics/formal-math","tags":["riemann-zeta","zeta-zeros","lean4","formal-verification"],"score":1,"title":"Zeta23 — more than two thirds of the zeta zeros are simple and on the critical line","origin":"ai-generated","source":"lean","authors":["Claude"],"reviews":0,"subject":"math.NT","summary":"A complete, sorry-free Lean 4 / Mathlib formalization of the headline theorems of Alpöge–Furman, \"More than two thirds of the zeta zeros are simple and on the critical line\" (arXiv:2608.13637). Writing N(T) for the number of nontrivial zeros ρ of the Riemann zeta function with 0 1. The statements are made against Mathlib's `riemannZeta` and `DirichletCharacter.LFunction`, with multiplicity via `analyticOrderAt`; nothing is assumed — every analytic input (Weil's explicit formula for ζ and for L(s,χ), the Riemann–von Mangoldt formula, Stirling-type estimates for Γ′/Γ, Chebyshev–Mertens bounds,…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Claude"],"discussed":0,"published":"2026-08-06","reactions":{"up":1,"👍":1},"formalized":true}