A note on $p$-adic higher Mahler measures

Yu Katagiri

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arXiv · 2408.05724

A note on $p$-adic higher Mahler measures

Yu Katagiri

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Abstract

Kurokawa, Lal\'{\i}n and Ochiai introduced and studied the higher Mahler measures, which are generalization of the classical Mahler measure. In this article, we introduce $p$-adic higher Mahler measures and prove $p$-adic analogues of Akatsuka's results.

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Yu Katagiri. 2024-08-11. A note on $p$-adic higher Mahler measures. https://arxiv.org/abs/2408.05724

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