Document Type
Lecture
Publication Date
9-16-2015
Abstract
Let N be the set of all nonnegative integers. A set A N is called a basis of N if every su ciently large integer is a sum of h elements from A, for some h. The smallest such h is called the order of A. For example, the squares form a basis of order 4 and the primes conjecturally form a basis of order 3 of N. Erdos and Graham asked the following questions. If A is a basis of N and a A, when is A a still a basis? It turns out that this is the case for all a A with a nite number of exceptions. If A a is still a basis, what can we say about its order? These questions and related questions have been extensively studied. In this talk, we address these questions in the more general setting of an abelian group in place of N. This is joint work with Victor Lambert and Alain Plagne.
Relational Format
presentation
Recommended Citation
Le, Thai Hoang, "Additive bases in groups" (2015). Combinatorics Seminar. 34.
https://egrove.olemiss.edu/math_combinatorics/34
