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 resultant of non-commutative polynomials”
Salomon's Theorem for polynomials with several parameters
Formulae for the singularities at infinity of plane algebraic curves.
Gwoździewicz, Janusz, Płoski, Arkadiusz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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The Diophantine equation f(x) = g(y)
Yuri Bilu, Robert Tichy (2000)
Acta Arithmetica
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Non-zero constant Jacobian polynomial maps of
Nguyen Van Chau (1999)
Annales Polonici Mathematici
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We study the behavior at infinity of non-zero constant Jacobian polynomial maps f = (P,Q) in ℂ² by analyzing the influence of the Jacobian condition on the structure of Newton-Puiseux expansions of branches at infinity of level sets of the components. One of the results obtained states that the Jacobian conjecture in ℂ² is true if the Jacobian condition ensures that the restriction of Q to the curve P = 0 has only one pole.
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 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.
The identity of three classes of polynomials.
Vernescu, Andrei (2005)
General Mathematics
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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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Multiplicity estimate for solutions of extended Ramanujan’s system
Evgeniy Zorin (2012)
Journal de Théorie des Nombres de Bordeaux
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We establish a new for solutions of a differential system extending Ramanujan’s classical differential relations. This result can be useful in the study of arithmetic properties of values of Riemann zeta function at odd positive integers (Nesterenko, 2011).