Log-sine Evaluations of Mahler Measures, Ii

  title={Log-sine Evaluations of Mahler Measures, Ii},
  author={Jonathan M. Borwein and Armin Straub},
We continue our analysis of higher and multiple Mahler measures using log-sine integrals as started in [7, 8]. This motivates a detailed study of various multiple polylogarithms [4] and worked examples are given. Our techniques enable the reduction of several multiple Mahler measures, and supply an easy proof of two conjectures by Boyd.