The Lehmer polynomial and pretzel links

In this paper we find a formula for the Alexander polynomial Deltap(l).....p(k) (x) of pretzel knots and links with (p(l),...,p(k), - 1) twists, where k is odd and p(l),...,p(k) are positive integers. The polynomial Delta (2,3,7)(x) is the well-known Lehmer polynomial, which is conjectured to have the smallest Mahler measure among all monic integer polynomials. We confirm that Delta (2,3,7)(x) has the smallest Mahler measure among the polynomials arising as Delta (pl),...,(pk) (x).