Lehmer’s Problem for Compact Abelian Groups

  title={Lehmer’s Problem for Compact Abelian Groups},
  author={Douglas Lind},
We formulate Lehmer’s Problem about the Mahler measure of polynomials for general compact abelian groups, introducing a Lehmer constant for each such group. We show that all nontrivial connected compact groups have the same Lehmer constant, and conjecture the value of the Lehmer constant for finite cyclic groups. We also show that if a group has infinitely… CONTINUE READING