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Bases of canonical number systems in quartic algebraic number fields

Horst BrunotteAndrea HusztiAttila Pethő — 2006

Journal de Théorie des Nombres de Bordeaux

Canonical number systems can be viewed as natural generalizations of radix representations of ordinary integers to algebraic integers. A slightly modified version of an algorithm of and is presented here for the determination of canonical number systems in orders of algebraic number fields. Using this algorithm canonical number systems of some quartic fields are computed.

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