Unique representation bases for the integers

Details Unique representation bases for the integers Unique representation bases for the integers

2002-02-14

arxiv.org/abs/math/0202137v1

Acta Arithmetica 108:1 (2003), 1-8.

Mathematics

Number Theory

10 pages

Scientific paper

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.

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