Displaying similar documents to “Roots of formal power series in one variable.”

On roots of polynomials with power series coefficients

Rafał Pierzchała (2003)

Annales Polonici Mathematici

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We give a deepened version of a lemma of Gabrielov and then use it to prove the following fact: if h ∈ 𝕂[[X]] (𝕂 = ℝ or ℂ) is a root of a non-zero polynomial with convergent power series coefficients, then h is convergent.