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Subset sums in p

H. H. Nguyen, E. Szemeredi, V. H. Vu

math.COarXiv:math/0610200

Abstract

Let p be the finite field of prime order p and A be a subset of 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 p as a sum of distinct elements of A ?

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