Linear relations with conjugates of a Salem number

Artūras Dubickas, Jonas Jankauskas

Publikation: Beitrag in FachzeitschriftArtikelForschungBegutachtung

1 Zitat (Scopus)

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 $6$.
OriginalspracheEnglisch
Seiten (von - bis)179–191
Seitenumfang13
FachzeitschriftJournal de théorie des nombres de Bordeaux
Jahrgang32.2020
Ausgabenummer1
PublikationsstatusVeröffentlicht - 2020

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