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

Manfred G. Madritsch (), Paul Surer () and Volker Ziegler ()
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Manfred G. Madritsch: Université de Lorraine, UMR 7502, Institut Elie Cartan de Lorraine
Paul Surer: Universtiät für Bodenkultur (BOKU), Institut für Mathematik
Volker Ziegler: University of Salzburg, Institute of Mathematics

A chapter in Number Theory – Diophantine Problems, Uniform Distribution and Applications, 2017, pp 313-332 from Springer

Abstract: Abstract 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.

Keywords: 11R18; 11Y40; 11A63 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-55357-3_16

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DOI: 10.1007/978-3-319-55357-3_16

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