The Mahler measure of a multivariate polynomial family with non-linear degree
Volume 216 / 2024
Acta Arithmetica 216 (2024), 35-61
MSC: Primary 11R06; Secondary 11M06, 11R42
DOI: 10.4064/aa231027-17-5
Published online: 30 August 2024
Abstract
We investigate the Mahler measure of a particular family of rational functions with an arbitrary number of variables and arbitrary degree in some of the variables, generalizing previous results for families with an arbitrary number of variables but linear dependence in each variable, obtained in [J. Number Theory 116 (2006), 102–139].
