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A question of divisibility of an analytic germ by a polynomial

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Abstract

The following question was asked: iff is a germ of an analytic function, regular inz andu in Weierstrass sense, is there a polynomial in (z, u) with analytic coefficients, that dividesf? The answer is negative, a counterexample is given.

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Authors and Affiliations

  1. Université d'Angers, Mathématiques, 2 bd Lavoisier, 49 045, Angers, France

    Zofia Denkowska

  2. Institute of Mathematics, Jagellonian University, Regmonta 4, Krakow, Poland

    Zofia Denkowska

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  1. Zofia Denkowska
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Correspondence to Zofia Denkowska.

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Denkowska, Z. A question of divisibility of an analytic germ by a polynomial. Qual. Th. Dyn. Syst 1, 157–162 (2000). https://doi.org/10.1007/BF02969476

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  • DOI: https://doi.org/10.1007/BF02969476

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