Learning more about Claude's mathematical capabilities
An unreleased version of Claude has made strides on a problem related to the Riemann hypothesis. It improved the lower bound for the fraction of zeros of the Riemann zeta function that satisfy the hypothesis, increasing it from 41.6% to 67.2%.
More than five-twelfths of the zeros of $ζ$ are on the critical line
The second moment of the Riemann zeta-function twisted by a normalized Dirichlet polynomial with coefficients of the form $(μ\star Λ_1^{\star k_1} \star Λ_2^{\star k_2} \star \cdots...
dollspace-gay/Riemann-zeta-function-exploration
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zeta-23-lean/comparator/README.md at 3635e74826a4c1fcece7d1cd2b6fa75e43a00510 · anthropics/zeta-23-lean
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zeta-23-lean/AUDIT.md at 3635e74826a4c1fcece7d1cd2b6fa75e43a00510 · anthropics/zeta-23-lean
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Tony Feng on Twitter / X
I am a mathematician but I avoided commenting on this because the problems are (far) outside my domain. Even if I sat down to read the technical details (which I have not), it would be hard to appreciate the context of prior work, etc. But I've gotten enough sense of things… https://t.co/VZzosBYFto— Tony Feng (@tonylfeng) August 5, 2026
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Interesting footnote on math arXiv arxiv.org/abs/2608.16066v1
