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Algebraic number field extensions with prescribed trace form

✍ Scribed by Martin Krüskemper


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
283 KB
Volume
40
Category
Article
ISSN
0022-314X

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Algebraic Numbers with Integral Power Tr
✍ B. Desmit 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 184 KB

A generalization of the following theorem will be proved. If \(\alpha\) is an algebraic number of degree \(n\) over \(\mathbb{Q}\) and the trace of \(\alpha^{i}\) lies in \(\mathbb{Z}\) for all positive \(i\) up to \(n+n \log _{2} n\), then \(\alpha\) is an algebraic integer. 1993 Academic Press. In