EUDML | Line antiderivations over local fields and their applications.

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Displaying similar documents to “Line antiderivations over local fields and their applications.”

Analytic Erdős-Turán conjectures and Erdős-Fuchs theorem.

Haddad, L., Helou, C., Pihko, J. (2005)

International Journal of Mathematics and Mathematical Sciences

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The geometry of some natural conjugacies in $ℂ^{n}$ dynamics.

Robertson, John W. (2004)

International Journal of Mathematics and Mathematical Sciences

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Approximation in $ℂ^{N}$ .

Levenberg, Norm (2006)

Surveys in Approximation Theory (SAT)[electronic only]

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Fatou maps in $ℙ^{n}$ dynamics.

Robertson, John W. (2003)

International Journal of Mathematics and Mathematical Sciences

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Fréchet-valued analytic functions and linear topological invariants.

Nguyen Van Dong, Nguyen Thai Son (1998)

Portugaliae Mathematica

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On explicit reciprocity law over formal groups.

Zhang, Shaowei (2004)

International Journal of Mathematics and Mathematical Sciences

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On universal forms in finite fields

Štefan Schwarz (1950)

Časopis pro pěstování matematiky a fysiky

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Smoothness as an invariant property of coefficients of linear differential equations

František Neuman (1989)

Czechoslovak Mathematical Journal

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Multiplicity and the Łojasiewicz exponent

S. Spodzieja (2000)

Annales Polonici Mathematici

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We give a formula for the multiplicity of a holomorphic mapping $f : ℂ^{n} \supset Ω \to ℂ^{m}$ , m > n, at an isolated zero, in terms of the degree of an analytic set at a point and the degree of a branched covering. We show that calculations of this multiplicity can be reduced to the case when m = n. We obtain an analogous result for the local Łojasiewicz exponent.