Log-sine evaluations of Mahler measures

Understand

We provide evaluations of several recently studied higher and multiple Mahler measures using log-sine integrals.

• This is complemented with an analysis of generating functions and identities for log-sine integrals which allows the evaluations to be expressed in terms of zeta values or more general polylogarithmic terms.
• The machinery developed is then applied to evaluation of further families of multiple Mahler measures.