Linear relations with conjugates of a Salem number
Publikationen: Beitrag in Fachzeitschrift › Artikel › Forschung › (peer-reviewed)
Autoren
Organisationseinheiten
Externe Organisationseinheiten
- Vilnius University
Abstract
In this paper we consider linear relations with conjugates of a Salem number
$\alpha$. We show that every such a relation arises from a linear relation
between conjugates of the corresponding totally real algebraic integer
$\alpha+1/\alpha$. It is also shown that the smallest degree of a Salem number
with a nontrivial relation between its conjugates is $8$, whereas the smallest
length of a nontrivial linear relation between the conjugates of a Salem number
is $6$.
$\alpha$. We show that every such a relation arises from a linear relation
between conjugates of the corresponding totally real algebraic integer
$\alpha+1/\alpha$. It is also shown that the smallest degree of a Salem number
with a nontrivial relation between its conjugates is $8$, whereas the smallest
length of a nontrivial linear relation between the conjugates of a Salem number
is $6$.
Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 179–191 |
| Seitenumfang | 13 |
| Fachzeitschrift | Journal de théorie des nombres de Bordeaux |
| Jahrgang | 32.2020 |
| Ausgabenummer | 1 |
| Status | Veröffentlicht - 2020 |
