Restricted addition in Z/nZ and an Application to the Erdős–Ginzburg–Ziv Problem

Some elementary results are given on restricted sums 2∧A and 3∧A of a subset A⊂Z/nZ in the case when the cardinality of A, is close to n/2. In the last section, some of these results are used to derive some new values of a function related to the Erdős–Ginzburg–Ziv problem.

Saved in:
Bibliographic Details
Published in:Journal of the London Mathematical Society 2002-06, Vol.65 (3), p.513-523
Main Authors: Gallardo, L., Grekos, G., Habsieger, L., Hennecart, F., Landreau, B., Plagne, A.
Format: Article
Language:English
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Some elementary results are given on restricted sums 2∧A and 3∧A of a subset A⊂Z/nZ in the case when the cardinality of A, is close to n/2. In the last section, some of these results are used to derive some new values of a function related to the Erdős–Ginzburg–Ziv problem.
ISSN:0024-6107
1469-7750
DOI:10.1112/S0024610701003040