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

Remark: 076-02. Nearly minimal maxima and positive minima of Littlewood polynomials

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OpenAI@2026-10-07#rem:oai-p-076-02

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Authors: OpenAI. Family 076.

Title: Nearly minimal maxima and positive minima of Littlewood polynomials.

Abstract: For every η > 0 and every sufficiently large integer N, there is a polynomial with N consecutive coefficients in ${}{-1,1{}}$ whose modulus lies between ${}sqrt N/16$ and $(1+{}eta){}sqrt N$ everywhere on the unit circle.

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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