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Nonstandard Arithmetic of Polynomial Rings
Published online by Cambridge University Press: 22 January 2016
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Let f(X, T1,…, Tm) be a polynomial over an algebraic number field k of finite degree. In his paper [2], T. Kojima proved
THEOREM. Let K = Q. if for every m integers t1, …, tm, there exists an r ∈ K such that f(r, t1, …, tm) =), then there exists a rational function g(T1,…,Tm) over Q such that
F(g(T1,…,Tm), T1,…,T)= 0.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1987
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