Article ID Journal Published Year Pages File Type
6415283 Journal of Number Theory 2017 10 Pages PDF
Abstract

We state and prove a group-invariant version of Lehmer's conjecture on heights, generalizing papers by Zagier (1993) [5] and Dresden (1998) [1] which are special cases of this theorem. We also extend their three cases to a full classification of all finite cyclic groups satisfying the condition that the set of all orbits for which every non-zero element lies on the unit circle is finite and non-empty.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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