arXiv · math/0610200
Subset sums in $\BZ_p$
Abstract
Let $\BZ_p$ 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 $A$ ?
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H. H. Nguyen, E. Szemeredi, V. H. Vu. 2006-10-05. Subset sums in $\BZ_p$. https://arxiv.org/abs/math/0610200
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