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Polygonal radix representations of complex numbers

✍ Scribed by Taoufik Safer

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 726 KB
Volume: 210
Category: Article
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(98)00100-5

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✦ Synopsis

Complex numbers can be represented in positional notation using certain digit sets. In this paper, we present the polygonal representation which uses zero and the n-roots of unity as digits. We give conditions on the base in order that every complex number be representable in such a system. We totally characterize complete polygonal numeration systems in imaginary quadratic fields.

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