Salomon's Theorem for polynomials with several parameters
Maria Frontczak, Przemysław Skibiński, Stanisław Spodzieja (1999)
Colloquium Mathematicae
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Displaying similar documents to “The Diophantine equation f(x) = g(y)”
Salomon's Theorem for polynomials with several parameters
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.
A note on the limit points associated withthe generalized abc-conjecture for ℤ[t]
Daniel Davies (1996)
Colloquium Mathematicae
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On three questions concerning -polynomials
Michael Filaseta, Carrie Finch, Charles Nicol (2006)
Journal de Théorie des Nombres de Bordeaux
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We answer three reducibility (or irreducibility) questions for -polynomials, those polynomials which have every coefficient either or . The first concerns whether a naturally occurring sequence of reducible polynomials is finite. The second is whether every nonempty finite subset of an infinite set of positive integers can be the set of positive exponents of a reducible -polynomial. The third is the analogous question for exponents of irreducible -polynomials.
On Garcia numbers.
Brunotte, Horst (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Growth at infinity of a polynomial with a compact zero set
Janusz Gwoździewicz (1998)
Banach Center Publications
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Approximation exponents for algebraic functions in positive characteristic
Bernard de Mathan (1992)
Acta Arithmetica
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In this paper, we study rational approximations for algebraic functions in characteristic p > 0. We obtain results for elements satisfying an equation of the type , where q is a power of p.
On the roots of polynomials over division algebras.
Topuridze, N. (2003)
Georgian Mathematical Journal
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