{"id":"openai-math/Nearly-minimal-maxima-and-positive-minima-of-Littlewood-polynomials","pdf":"https://github.com/openai/math/blob/main/preprints/Nearly-minimal-maxima-and-positive-minima-of-Littlewood-polynomials-October-5-2026/littlewood-lower-envelope.pdf","url":"https://github.com/openai/math/tree/main/preprints/Nearly-minimal-maxima-and-positive-minima-of-Littlewood-polynomials-October-5-2026","tags":["analysis","polynomials","littlewood-polynomials"],"score":0,"title":"Nearly minimal maxima and positive minima of Littlewood polynomials","domain":"Real and complex analysis","family":"076","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.CA","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Real ultraflat Littlewood polynomials and unbounded binary merit factors"}