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On the distribution of quadratic residues

Number Theory 2023-08-29 v1 Combinatorics

Abstract

In our paper, we apply additive-combinatorial methods to study the distribution of the set of squares R\mathcal{R} in the prime field. We obtain the best upper bound on the number of gaps in R\mathcal{R} at the moment and generalize this result for sets with small doubling.

Keywords

Cite

@article{arxiv.2308.14069,
  title  = {On the distribution of quadratic residues},
  author = {Ilya D. Shkredov},
  journal= {arXiv preprint arXiv:2308.14069},
  year   = {2023}
}

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17 pages