A note on $p$-adic higher Mahler measures
Volume 220 / 2025
Acta Arithmetica 220 (2025), 345-359
MSC: Primary 11R06; Secondary 11M99
DOI: 10.4064/aa240819-20-5
Published online: 30 September 2025
Abstract
Kurokawa, Lalín and Ochiai introduced and studied the higher Mahler measures, which are a generalization of the classical Mahler measure. We introduce $p$-adic higher Mahler measures and prove $p$-adic analogues of Akatsuka’s results.
