Unique representation bases for the integers

Abstract

Arbitrarily sparse sets A of integers are constructed with the property that every integer can be represented uniquely in the form n = a + a', where a and a' belong to the set A and a < a' or a = a'. Some related open problems are stated.

10 pages

Cited by in corpus (2)

• Intersections of sumsets in additive number theory
• Inverse problems for sumset sizes of finite sets of integers