This note uncovers p-adic higher Mahler measures, revealing their connection to Akatsuka’s results.
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.
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Yu Katagiri (2025) studied this question.
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