Conditions for a Zero Sum Modulo <i>n</i>
Conditions for a Zero Sum Modulo <i>n</i>
In this paper the following result is proved. Let n > 0 and k ≥ 0 be integers with n — 2k ≥ 1. Given any n — k integers there is a non-empty subset of indices I ⊂ {1, 2,…, n — k} such that the sum Σ i∊I …