C. Samuels

activity

20102023

most citedOn the non-Archimedean metric Mahler measure

15 citations · 61 across the 22 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.NT2017★ 3 cited

Direct Limits of Adèle Rings and Their Completions

James P. Kelly, Charles L. Samuels

The adèle ring $A_{K}$ of a global field $K$ is a locally compact, metrizable topological ring which is complete with respect to any invariant metric on $A_{K}$ . For a…

math.NT2017

Metric Mahler measures over number fields

Charles L. Samuels

For an algebraic number $α$ , the metric Mahler measure $m_{1} (α)$ was first studied by Dubickas and Smyth in 2001 and was later generalized to the $t$ -metric Mahler measure $m_{t} (α)$ …