On Alexander-Conway polynomials of two-bridge links

We consider Conway polynomials of two-bridge links as Euler continuant polynomials. As a consequence, we obtain simple proofs of the classical theorems of Murasugi and Hartley on Alexander polynomials. We give a modulo 2 congruence for links, which implies the classical modulo 2 Murasugi congruence for knots. We also give sharp bounds for the coefficients of the Conway and Alexander polynomials of a two-bridge link. These bounds improve and generalize those of Nakanishi and Suketa. We easily obtain some bounds for the roots of the Alexander polynomials of two-bridge links. MSC2000: 57M25