English

Subset sums in $\BZ_p$

Combinatorics 2007-05-23 v1 Number Theory

Abstract

Let \BZp\BZ_p be the finite field of prime order pp and AA be a subset of \BZp\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 AA ? (2) When can one represent every element of \BZp\BZ_p as a sum of distinct elements of AA ?

Keywords

Cite

@article{arxiv.math/0610200,
  title  = {Subset sums in $\BZ_p$},
  author = {H. H. Nguyen and E. Szemeredi and V. H. Vu},
  journal= {arXiv preprint arXiv:math/0610200},
  year   = {2007}
}