On cycles of polynomials with integral rational coefficients
Zuzana Divišová (2002)
Mathematica Slovaca
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Zuzana Divišová (2002)
Mathematica Slovaca
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Władysław Narkiewicz (2002)
Journal de théorie des nombres de Bordeaux
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It is shown that the methods established in [HKN3] can be effectively used to study polynomial cycles in certain rings. We shall consider the rings and shall describe polynomial cycles in the case when is either odd or twice a prime.
Edward G. Belaga (2003)
Acta Arithmetica
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T. Pezda (2003)
Acta Arithmetica
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Naeem Alkoumi, Pedro J. Torres (2011)
Czechoslovak Mathematical Journal
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New results are proved on the maximum number of isolated -periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared with the available literature and applied to a class of polynomial systems on the cylinder.
John L. Simons (2008)
Acta Arithmetica
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