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An Asymptotic Formula For Counting Subset Sums Over Subgroups Of Finite Fields

Number Theory 2011-01-04 v1

Abstract

Let F_q be the finite field of q elements. Let H be a multiplicative subgroup of F_q^*. For a positive integer k and element b\in F_q, we give a sharp estimate for the number of k-element subsets of H which sum to b.

Keywords

Cite

@article{arxiv.1101.0289,
  title  = {An Asymptotic Formula For Counting Subset Sums Over Subgroups Of Finite Fields},
  author = {Guizhen Zhu and Daqing Wan},
  journal= {arXiv preprint arXiv:1101.0289},
  year   = {2011}
}

Comments

18 pages, no figures