Hexagon

Headlines · 1

1. Oct 18
   After OpenAI's quasi-Riemann claim, mathematicians push number-theory results

   According to a 36Kr repost of a New Zhiyuan article, OpenAI claimed on October 6 that its AI proved a quasi-Riemann hypothesis, excluding Landau–Siegel zeros, drawing positive comments from number theorist Hector Pasten and others. The report says Cureton and Thorner posted a Hexagon preprint on October 12 applying the tools to finite-order Hecke L-functions to obtain a zero-free region to the right of 1-1/6000, which an open-source community then pushed to 1/32, with a Lean formalization generated by the math agent AxiomProver. It adds that a preprint by Frei, Somos and Widmer on arXiv used these results to prove unconditionally the 2007 Ellenberg–Venkatesh bound on ℓ-torsion in class groups, and that the paper states no artificial intelligence tools were used. cnBeta's republished headline says AI again broke the generalized Riemann hypothesis, but the described work concerns zero-free regions rather than the full GRH.

   36氪 人工智能 · 🔥 0

Experience and discussion from the community

Share my Hexagon experienceAsk about Hexagon