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. We also prove analogous zero-free strips for the L-functions of the elliptic curves y² = x³ + d: L(E_d, s) ≠ 0 for Re s > 17/12 by the 11/12 method, and for Re s > 11/8 by the 7/8 method. In the analytic normalization, with critical line Re s = 1/2, these are Re s > 11/12 and Re s > 7/8.
— Michael Rubinstein

• Sixth powers in a mean square: an accessible guide to the 11/12 argument for ζ(s) (PDF, 18 pages)
• 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, 127 pages; TeX source; tests on GitHub). This note adapts the two methods to the CM curves y² = x³ + d.
• 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.