A counterexample to the "composition conjecture"

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25 Scopus citations


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.

Original languageEnglish
Pages (from-to)3747-3749
Number of pages3
JournalProceedings of the American Mathematical Society
Issue number12
StatePublished - 1 Dec 2002
Externally publishedYes


  • Compositions
  • Functional equations
  • Poincare center-focus problem
  • Polynomial Abel equation
  • Polynomials

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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