Some remarks on barycentric-sum problems over cyclic groups

Details Some remarks on barycentric-sum problems over cyclic groups Some remarks on barycentric-sum problems over cyclic groups

2012-04-20

arxiv.org/abs/1204.4540v1

Mathematics

Number Theory

Scientific paper

We derive some new results on the k-th barycentric Olson constants of abelian
groups (mainly cyclic). This quantity, for a finite abelian (additive) group
(G,+), is defined as the smallest integer l such that each subset A of G with
at least l elements contains a subset with k elements {g_1,..., g_k} satisfying
g_1 +...+ g_k = k g_j for some 1 <= j <= k.

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