Uniting dozens of seemingly disparate results from different fields, this book combines
concepts from mathematics and computer science to present the first integrated treatment of …

This collaborative volume presents recent trends arising from the fruitful interaction between
the themes of combinatorics on words, automata and formal language theory, and number …

Let d≥ 1 be an integer and r=(r0,..., rd− 1)∈ Rd. The shift radix system τr: Zd→ Zd is defined
by τr (z)=(z1,..., zd− 1,−⌊ rz⌋) t (z=(z0,..., zd− 1) t). τr has the finiteness property if each z∈ …

GENERALIZED RADIX REPRESENTATIONS AND DYNAMICAL SYSTEMS. I Page 1 Acta
Math. Hungar. 108 (3) (2005), 207–238. GENERALIZED RADIX REPRESENTATIONS AND …

Le but de ce survol est d'aborder définitions et propriétés concernant la numération d'un
point de vue dynamique: nous nous concentrons sur les systèmes de numération, leur …

Let P (x)= xd+ pd− 1xd− 1+···+ p0 be an expanding monic polynomial with integer
coefficients. If each element of Z [x]/P (x) Z [x] has a polynomial representative with …

The object of this note is to analyze canonical radix expansions in algebraic number fields,
especially using 0 and 1 as digits. We shall prove that infinitely many such binary number …

It is well known that each positive integer can be expressed uniquely as a sum= 0+ 1+···+
with an integral base number≥ 2,= 0 and∈{0...− 1}. This concept can be generalized in …

Let KK be a number field of degree k and let OO be an order in K K. A generalized number
system over OO (GNS for short) is a pair (p, D)(p, D) where p ∈ O xp∈ O x is monic and D …

In this paper, we present a method for finding all expansive polynomials with a prescribed
degree n and constant term c 0. Our research is motivated by the fact that expansivity is a …