On some properties of polynomial functions
R. Ger (1971)
Annales Polonici Mathematici
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R. Ger (1971)
Annales Polonici Mathematici
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Jason Lucier (2006)
Acta Arithmetica
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Umberto Zannier (2007)
Acta Arithmetica
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J. Siciak (1971)
Annales Polonici Mathematici
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Shih Ping Tung (2006)
Acta Arithmetica
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Norbert Hegyvári, François Hennecart (2009)
Acta Arithmetica
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Luís R. A. Finotti (2009)
Acta Arithmetica
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Tomasz Rodak (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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We give a description of the set of points for which the Fedoryuk condition fails in terms of the Łojasiewicz exponent at infinity near a fibre of a polynomial.
H. Kaufman, Mira Bhargava (1965)
Collectanea Mathematica
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A. Schinzel (2008)
Acta Arithmetica
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Umberto Zannier (2009)
Acta Arithmetica
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J. L. Walsh (1926)
Mathematische Zeitschrift
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James P. Jones (1988)
Banach Center Publications
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Mira Bhargava (1964)
Collectanea Mathematica
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R. V. Parker (1973)
Matematički Vesnik
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Fedor Petrov (2014)
Acta Arithmetica
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Applying techniques similar to Combinatorial Nullstellensatz we prove a lower estimate of |f(A,B)| for finite subsets A, B of a field, and a polynomial f(x,y) of the form f(x,y) = g(x) + yh(x), where the degree of g is greater than that of h.