On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields

Autor: Volker Ziegler, Paul Surer, Manfred G. Madritsch
Rok vydání: 2017
Předmět:
Zdroj: Number Theory – Diophantine Problems, Uniform Distribution and Applications ISBN: 9783319553566
DOI: 10.1007/978-3-319-55357-3_16
Popis: In the present paper we are interested in number systems in the ring of integers of cyclotomic number fields in order to obtain a result equivalent to Cobham’s theorem. For this reason we first search for potential bases. This is done in a very general way in terms of canonical number systems. In a second step we analyse pairs of bases in view of their multiplicative independence. In the last part we state an appropriate variant of Cobham’s theorem.
Databáze: OpenAIRE