44 research outputs found
On n-sum of an abelian group of order n
Let be an additive finite abelian group of order , and let be a
sequence of elements in , where . Suppose that contains
distinct elements. Let denote the set that consists of all
elements in which can be expressed as the sum over a subsequence of length
. In this paper we prove that, either or This confirms a conjecture by Y.O. Hamidoune in 2000