Human-readable papers on Siegel zeros

Ben Green has posted a new paper on Hexagon, with a five-page proof of the groundbreaking OpenAI result on Landau-Siegel zeros. That this kind of short and simple proof exists for such a deep statement raises many questions about the nature of human creativity and the structure and boundaries of mathematical knowledge.

Before Green posted his paper, Banks posted another version of the proof which also supplies explicit constants, a feature which I always appreciate in analytic number theory!

For reference, here is also the original OpenAI paper and another simplification by Kerr.

Even more recently, Terence Tao wrote up a sketch of the proof, and then posted an experimental "AI math challenge problem" here, on the famous "tenth discriminant problem". Both of these blog posts have long and interesting discussions in the comments.

For a popular account of what's going on, there is also a Quanta article on Quasi-RH.

On a different note, a plan is beginning to emerge for how to formalize all of mathematics, and here too it is interesting to think about the structure and nature of math as a whole, and how to translate this new technology into teaching and learning environments.