New upper bounds are claimed for Hankel determinants and |a4|-|a3| in the univalent class S, but the proof of the a3=0 third Hankel determinant bound contains an algebraic error.
Lebedev, Area principle in the theory of univalent functions, Published by"Nauka", Moscow, 1975 (in Russian)
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Improvements of certain results of the class $\mathcal{S}$ of univalent functions
New upper bounds are claimed for Hankel determinants and |a4|-|a3| in the univalent class S, but the proof of the a3=0 third Hankel determinant bound contains an algebraic error.