Working notes on OpenAI's quasi-Riemann hypothesis papers, and generalizations to CM newforms

These are working notes, generated by Claude and Codex to help me read the papers on the quasi-Riemann hypothesis that OpenAI released (github.com/openai/math). We also explore adapting the method to CM newforms such as those associated to elliptic curves y² = x³ + d.
— Michael Rubinstein

• Sixth powers in a mean square: an accessible guide to the 11/12 argument for ζ(s) (PDF, 18 pages)
• Zeros of a whole family: an accessible guide to the 7/8 argument for ζ(s) (PDF, 12 pages)
• A zero-free strip for the L-functions of the elliptic curves y² = x³ + d: the 11/12 method and its extension to 7/8 (PDF, 29 pages; TeX source). This note adapts the two methods to the CM curves y² = x³ + d rather than explaining OpenAI's papers. As it states, these are working notes whose details have yet to be checked carefully; the 7/8 part is an outline of a proof that is conditional on statements listed in its Section 16.
• Quadratic number fields, with Q(√−3) worked out in detail (PDF, 33 pages; source and scripts on GitHub). Background notes on the arithmetic of ℤ[ω], residue symbols, Poisson summation over ℤ[ω], and the cubic theta function of Kubota and Patterson, as used in the 11/12 argument.