A group-invariant version of Lehmer's conjecture on heights
Publication date
2017-02-01
Authors
van Ittersum, Jan Willem
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Document Type
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taverne
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
G-orbit height, Lehmer's conjecture, Mahler measure, Weil height, Taverne, Algebra and Number Theory
Citation
van Ittersum, J W M 2017, 'A group-invariant version of Lehmer's conjecture on heights', Journal of Number Theory, vol. 171, pp. 145-154. https://doi.org/10.1016/j.jnt.2016.07.015