The finiteness of computing the ultrametric Mahler measure
Number Theory
2025-04-02 v1
Abstract
Recent work of Fili and the author examines an ultrametric version of the Mahler measure, denoted for an algebraic number . We show that the computation of can be reduced to a certain search through a finite set. Although it is a open problem to record the points of this set in general, we provide some examples where it is reasonable to compute and our result can be used to determine .
Cite
@article{arxiv.1408.5043,
title = {The finiteness of computing the ultrametric Mahler measure},
author = {Charles L. Samuels},
journal= {arXiv preprint arXiv:1408.5043},
year = {2025}
}