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Nearly minimal maxima and positive minima of Littlewood polynomials

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OpenAI Mathopenai-math/Nearly-minimal-maxima-and-positive-minima-of-Littlewood-polynomialsOct 5, 2026math.CAAI-generatedscore 0

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.

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