Aug 10, 2026
Two thirds of the zeta zeros on the critical line
Model / AI: Anthropic (unreleased)
machine-checked
an unreleased Claude research model raised the unconditional lower bound on zeros of ζ on the critical line from 41.6% to 67.2%, with a sorry-free Lean formalization declaring no axioms beyond Lean's three. Checked internally by Alpöge and Furman; Brian Conrey and Dan Goldston examined the paper on short notice, which is a sanity check by the right people rather than refereeing.
Source review pending. Imported from the original notes; linked claims and artifacts have not been re-audited in this restructuring.