On the Mahler measure of a family of genus 2 curves

Marie José Bertin, Wadim Zudilin

We establish a general identity between the Mahler measures $m(Q_k(x,y))$ and $m(P_k(x,y))$ of two polynomial families, where $Q_k(x,y)=0$ and $P_k(x,y)=0$ are generically hyperell…