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Every Real Algebraic Integer Is a Difference of Two Mahler Measures

Every Real Algebraic Integer Is a Difference of Two Mahler Measures

Abstract We prove that every real algebraic integer α is expressible by a difference of two Mahler measures of integer polynomials. Moreover, these polynomials can be chosen in such a way that they both have the same degree as that of α, say d , one of these two polynomials …