Distinct Partial Sums in Cyclic Groups: Polynomial Method and Constructive Approaches

Jacob Hicks, M. A. Ollis, John. R. Schmitt

Let $(G,+)$ be an abelian group and consider a subset $A\subseteq G$ with $|A|=k$. Given an ordering $(a_1,\dots ,a_k)$ of the elements of $A$, define its {\em partial sums} by…