A note on unique representation bases for the integers
Tomasz Łuczak, Tomasz Schoen · Functiones et Approximatio Commentarii Mathematici · 2004
We prove that each subset A of Z which fulfills certain Sidon-type condition can be extended to a unique representation basis for Z. Keywords: additive bases For a set A~ Z, h EN, and n E Z, by rA,h(n) we denote the number of ways n can be represented as a sum a1 + az + • • • + ah, where a1, a2, ... , ah E A,