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Bases of canonical number systems in quartic algebraic number fields

Horst Brunotte, Andrea Huszti, Attila 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 B. Kovács and A. Pethő 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.

Basic Properties of Primitive Root and Order Function

Na Ma, Xiquan Liang (2012)

Formalized Mathematics

In this paper we defined the reduced residue system and proved its fundamental properties. Then we proved the basic properties of the order function. Finally, we defined the primitive root and proved its fundamental properties. Our work is based on [12], [8], and [11].

Basic properties of shift radix systems.

Akiyama, Shigeki, Borbély, Tibor, Brunotte, Horst, Pethő, Attila, Thuswaldner, Jörg M. (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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