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arxiv: math/0610200 · v1 · submitted 2006-10-05 · 🧮 math.CO · math.NT

Subset sums in BZ_p

classification 🧮 math.CO math.NT
keywords distinctelementsrepresentsubsetwhenbasicelementevery
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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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