Cycles of polynomials in algebraically closed fields of positive characteristic (II)

T. Pezda

Displaying similar documents to “Cycles of polynomials in algebraically closed fields of positive characteristic (II)”

Cycles of polynomials in algebraically closed fields of positive characteristic

T. Pezda (1994)

Colloquium Mathematicae

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On Garcia numbers.

Brunotte, Horst (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On the roots of polynomials over division algebras.

Topuridze, N. (2003)

Georgian Mathematical Journal

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The Diophantine equation f(x) = g(y)

Yuri Bilu, Robert Tichy (2000)

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An edge-minimization problem for regular polygons.

Buchholz, Ralph H., De Launey, Warwick (2009)

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On branches at infinity of a pencil of polynomials in two complex variables

T. Krasiński (1991)

Annales Polonici Mathematici

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Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.

On real polynomials without nonnegative roots.

Brunotte, Horst (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On the computation of the GCD of 2-D polynomials

Panagiotis Tzekis, Nicholas Karampetakis, Haralambos Terzidis (2007)

International Journal of Applied Mathematics and Computer Science

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The main contribution of this work is to provide an algorithm for the computation of the GCD of 2-D polynomials, based on DFT techniques. The whole theory is implemented via illustrative examples.

On some issues concerning polynomial cycles

Tadeusz Pezda (2013)

Communications in Mathematics

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We consider two issues concerning polynomial cycles. Namely, for a discrete valuation domain $R$ of positive characteristic (for $N \geq 1$ ) or for any Dedekind domain $R$ of positive characteristic (but only for $N \geq 2$ ), we give a closed formula for a set $𝒞 Y C L (R, N)$ of all possible cycle-lengths for polynomial mappings in $R^{N}$ . Then we give a new property of sets $𝒞 Y C L (R, 1)$ , which refutes a kind of conjecture posed by W. Narkiewicz.

A note on the limit points associated withthe generalized abc-conjecture for ℤ[t]

Daniel Davies (1996)

Colloquium Mathematicae

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