Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415283 | Journal of Number Theory | 2017 | 10 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jan-Willem M. van Ittersum,