CHAPPELON , Jonathan

For any positive integers l and m, a set of integers is said to be (weakly) l-sum free modulo m if it contains no (pairwise distinct) elements x1, x2, . . . , xl , y satisfying the congruence x1 + . . . + xl ≡ y mod m. It is proved that, for any positive integers k and l, there exists a largest integer n for which the set of the first n...