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Restricted set addition: The exceptional case of the Erdős–Heilbronn conjecture

Authors :
Károlyi, Gyula
Source :
Journal of Combinatorial Theory - Series A. Apr2009, Vol. 116 Issue 3, p741-746. 6p.
Publication Year :
2009

Abstract

Abstract: Let be nonempty subsets of the group of integers modulo a prime p. If , then at least different residue classes can be represented as , where , and . This result complements the solution of a problem of Erdős and Heilbronn obtained by Alon, Nathanson, and Ruzsa. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00973165
Volume :
116
Issue :
3
Database :
Academic Search Index
Journal :
Journal of Combinatorial Theory - Series A
Publication Type :
Academic Journal
Accession number :
36681710
Full Text :
https://doi.org/10.1016/j.jcta.2008.08.005