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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A counterexample to the ``composition conjecture"


Author: F. Pakovich
Journal: Proc. Amer. Math. Soc. 130 (2002), 3747-3749
MSC (2000): Primary 34C99; Secondary 30D05
Published electronically: June 13, 2002
MathSciNet review: 1920083
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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.


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Additional Information

F. Pakovich
Affiliation: Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
Email: pakovich@wisdom.weizmann.ac.il

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06755-2
PII: S 0002-9939(02)06755-2
Keywords: Poincare center-focus problem, polynomial Abel equation, polynomials, compositions, functional equations
Received by editor(s): January 22, 2002
Received by editor(s) in revised form: February 22, 2002
Published electronically: June 13, 2002
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2002 American Mathematical Society