A counterexample to the "composition conjecture"

被引：29

作者：

Pakovich, F ^{[1
]}

机构：

[1] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 12期

关键词：

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

D O I：

10.1090/S0002-9939-02-06755-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：3747 / 3749

页数：3

共 6 条

[1] Center conditions III: Parametric and model center problems
Briskin, M
Francoise, JP
Yomdin, Y
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2000, 118 (1) : 83 - 108
[2] Center conditions II: Parametric and model center problems
Briskin, M
Francoise, JP
Yomdin, Y
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2000, 118 (1) : 61 - 82
[3] Center conditions, compositions of polynomials and moments on algebraic curves
Briskin, M
Francoise, JP
Yomdin, Y
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1999, 19 : 1201 - 1220
[4] Abel equations: Composition conjectures and the model problem
Christopher, C
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2000, 32 : 332 - 338
[5] ROYTVARF N, IN PRESS BY LEVIN ME
[6] Schinzel A., 2000, ENCY MATH ITS APPL, VVol. 77

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