2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117856Let $\BZ_p$ be the finite field of prime order $p$ and $A$ be a subset of $\BZ_p$. We prove several sharp results about the following two basic questions: (1) When can one represent zero as a sum of distinct elements of $A$ ? (2) When can one represent every element of $\BZ_p$ as a sum of distinct elements of $A$ ?CombinatoricsNumber Theorytext