Characterizations of pretzel knots which are simple-ribbon (Q6185100)

Throughout the course of this paper, it is assumed that knots and links are oriented, and their consideration extends to ambient isotopy within an oriented 3-sphere. The paper introduces a recursive formula for the Alexander polynomials of pretzel knots, incorporating a pair of integer parameters with opposing signs. Through the utilization of this formula, the characterization of certain pretzel knots as simple-ribbon is expounded upon.