English

A note on $p$-adic higher Mahler measures

Number Theory 2024-08-13 v1

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 pp-adic higher Mahler measures and prove pp-adic analogues of Akatsuka's results.

Cite

@article{arxiv.2408.05724,
  title  = {A note on $p$-adic higher Mahler measures},
  author = {Yu Katagiri},
  journal= {arXiv preprint arXiv:2408.05724},
  year   = {2024}
}

Comments

14 pages

R2 v1 2026-06-28T18:09:44.287Z