Flat Polynomials on the unit Circle—Note on a Problem of Littlewood

In [10], Littlewood conjectured that there are positive absolute constants Ax and A2 such that, for arbitrarily large n, one can find anfne^n or a gn€%, such that A.Vin+l) < \fM\ < A2V("+V (1-1) or ^ V ( « + l ) < \gn(0)\

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