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

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

2010-12-31

arxiv.org/abs/1101.0289v1

Mathematics

Number Theory

18 pages, no figures

Scientific paper

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.

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