Algebraic numbers of small Weil's height in CM-fields: On a theorem of Schinzel

✍ Scribed by Francesco Amoroso; Filippo A.E. Nuccio

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 163 KB
• Volume: 122
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2006.04.005

✦ Synopsis

Let S be the union of all CM-fields and S 0 be the set of non-zero algebraic numbers of S which are not roots of unity. We show that in S 0 Weil's height cannot be bounded from below by an absolute constant.