Why OpenAI's quasi-Riemann result must cover all L-functions, vindicating Hardy's 1921 conjecture
burny_tech · x · 2026-10-11
Eric Naslund highlights an interesting technical detail about OpenAI's quasi-Riemann hypothesis work:
Experts have long conjectured that any proof of the Riemann Hypothesis would apply to all Dirichlet L-functions — Hardy wrote exactly that in 1921. Interestingly, OpenAI's 7/8 quasi-Riemann result cannot prove the bound for the zeta function alone: the argument proves it simultaneously for all finite-order Hecke L-functions over Q[√(-3)], and the generality is essential to the proof itself. Hardy's century-old conjecture is borne out in this very case.
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