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In this paper we consider the set of Mahler measures of generalized Pisot and Salem numbers and give a characterization of such numbers in terms of their minimal polynomials. We show that every real quadratic algebraic integer  β  can be expressed by the dierence of the Mahler measure of a generalized Pisot number and a Pisot number in ℚ( β ).

Mahler measures of Pisot and Salem type numbers