Title: Disjoint odd integer subsets having a constant odd sum
Abstract: We prove that for positive k, n and m, the set {1, 3,…, 2n−} of odd integers contains k disjoint subsets having a constant odd sum m if and only if 9(k−1)⩽m ⩽2n−1, or 9k⩽m⩽n2k and n2−mk/ne2.