Existence of degree-n ±1 polynomials P with δ√n ≤ |P(z)| ≤ Δ√n for all |z|=1 and absolute constants Δ > δ > 0.
Odlyzko, Search for ultraflat polynomials with plus and minus on e coefficients, In: Connections in Discrete Mathematics: A Celebration of the Work of Ron Graham (S
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Flat Littlewood Polynomials Exist
Existence of degree-n ±1 polynomials P with δ√n ≤ |P(z)| ≤ Δ√n for all |z|=1 and absolute constants Δ > δ > 0.