论文信息 - A Property of Polynomials with an Applicationto Siegel’s Lemma

A Property of Polynomials with an Applicationto Siegel’s Lemma

Abstract. It is proved that natural necessary conditions imply the existence of infinitely many integer points at which given multivariate polynomials with integer coefficients take coprime values. As a consequence the best constant in the simplest case of Siegel’s lemma is expressed in terms of critical determinants of suitable star bodies.

Andrzej Schinzel | A. Schinzel

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