Flat Littlewood polynomials exist
We show that there exist absolute constants Δ>𝛿>0 such that, for all 𝑛≥2, there exists a polynomial 𝑃 of degree 𝑛, with coefficients in {−1,1}, such that 𝛿𝑛√≤|𝑃(𝑧)|≤Δ𝑛√ for all 𝑧∈ℂ with |𝑧|=1. This confirms a conjecture of Littlewood from 1966....
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Mathematical Sciences Publishers
2020
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