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

Remark: 003-03. Uniform exclusion of Landau–Siegel zeros

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Authors: OpenAI. Family 003.

Title: Uniform exclusion of Landau–Siegel zeros.

Abstract: We prove the uniform exclusion of Landau–Siegel zeros. There is an absolute constant c > 0 such that every real zero ${}beta{}in(0,1)$ of every primitive nonprincipal real Dirichlet L-function of conductor q ≥ 3 satisfies $(1-{}beta){}log q{}ge c$.

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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