| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4655955 | Journal of Combinatorial Theory, Series A | 2009 | 6 Pages |
Abstract
Let A≠B be nonempty subsets of the group of integers modulo a prime p. If p⩾|A|+|B|−2, then at least |A|+|B|−2 different residue classes can be represented as a+b, where a∈A, b∈B and a≠b. This result complements the solution of a problem of Erdős and Heilbronn obtained by Alon, Nathanson, and Ruzsa.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
