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Showing 2017 · math.NTShow all
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math.NT2017★ 3 cited
Direct Limits of Adèle Rings and Their Completions
James P. Kelly, Charles L. Samuels
The adèle ring of a global field is a locally compact, metrizable topological ring which is complete with respect to any invariant metric on . For a…
math.NT2017
Metric Mahler measures over number fields
Charles L. Samuels
For an algebraic number , the metric Mahler measure was first studied by Dubickas and Smyth in 2001 and was later generalized to the -metric Mahler measure …