Equations for Mahler measure and isogenies

  title={Equations for Mahler measure and isogenies},
  author={Matilde Lal{\'i}n and parMatilde N. LAL{\'I}N},
We study some functional equations between Mahler measures of genus-one curves in terms of isogenies between the curves. These equations have the potential to establish relationships between Mahler measure and especial values of L-functions. These notes are based on a talk that the author gave at the “Cuartas Jornadas de Teoría de Números”, Bilbao, 2011.