Regular maps in generalized number systems
Jean‐Paul Allouche, Klaus Scheicher, Robert F. Tichy · Czech digital mathematics library · 2000
ABSTRACT. This paper extends some results of Allouche and Shallit for o-regu-lar sequences to numerat ion systems in algebraic number fields and to linear nu-meration systems. We also construc t au tomata tha t perform addition and multi-plication by a fixed number. 1.