Multivariable polynomial injections on rational numbers
Bjorn Poonen (2010)
Acta Arithmetica
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Bjorn Poonen (2010)
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.