A group-invariant version of Lehmer's conjecture on heights

详细信息    查看全文

• 作者：Jan-Willem M. van Ittersum ^{j.w.m.vanittersum@uu.nl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11G50 ; 11R04 ; 11R06 ; 12D10
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：171
• 期：Complete
• 页码：145-154
• 全文大小：279 K

文摘

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.