Higher Mahler measure of an $n$-variable family
Volume 174 / 2016
Acta Arithmetica 174 (2016), 1-30
MSC: Primary 11R06; Secondary 11M06, 11R09.
DOI: 10.4064/aa8111-3-2016
Published online: 13 June 2016
Abstract
We prove formulas for the $k$-higher Mahler measure of a family of rational functions with an arbitrary number of variables. Our formulas reveal relations with multiple polylogarithms evaluated at certain roots of unity.
