Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 003-01. The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane s 7/8

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OpenAI@2026-10-07#rem:oai-p-003-01

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Authors: OpenAI. Family 003.

Title: The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane ${}Re s{}gt 7/8$.

Abstract: We prove that all finite-order Hecke L-functions over ${}mathbb Q({}sqrt{-3})$ and all Dirichlet L-functions are zero-free in the half-plane ${}Re s{}gt 7/8$, with the principal pole at s = 1 allowed. In particular, the Riemann zeta function is zero-free in this half-plane, proving the quasi-Riemann hypothesis.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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