On radix representation of rings
Asger Munk Nielsen, Peter Kornerup · 2002
This paper presents a thorough analysis of radix representations of elements from general rings. In particular, we study the questions of redundancy, completeness and mappings into such representations. After a brief description of the more usual representations of integers, a more detailed analysis of various complex number systems is performed. This includes the "classical" complex number systems for the Gaussian integers, as well as the Eisenstein integers.