An invariant property of Mahler measure

Abstract

We exhibit a change of variables that maintains the Mahler measure of a given polynomial. This method leads to the construction of highly non-trivial polynomials with given Mahler measure and settles some conjectural numerical formulas due to Boyd and Brunault.

12 pages

References in corpus (3)

• Mahler measures and computations with regulators
• An algebraic integration for Mahler measure
• Mahler measure of some n-variable polynomial families

Cited by in corpus (1)

• The Mahler measure of exact polynomials in three variables