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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.