On multiplicatively independent bases in cyclotomic number fields

Recently the authors [ 12 ] showed that the algebraic integers of the form - m + ζ k are bases of a canonical number system of Z [ ζ k ] provided m ≧ ϕ ( k ) + 1 , where ζ k denotes a k -th primitive root of unity and ϕ is Euler’s totient function. In this paper we are interested in the questions wh...

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Veröffentlicht in:	Acta mathematica Hungarica 2015-06, Vol.146 (1), p.224-239
Hauptverfasser:	Madritsch, M. G., Ziegler, V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics Number Theory
Online-Zugang:	Volltext
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