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A counterexample to the ``composition conjecture"
Authors:F. Pakovich
Affiliation:Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
Abstract:In this note we construct a class of counterexamples to the ``composition conjecture" concerning an infinitesimal version of the center problem for the polynomial Abel equation in the complex domain.

Keywords:Poincare center-focus problem   polynomial Abel equation   polynomials   compositions   functional equations
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