Refined Estimates Concerning Sumsets Contained in the Roots of Unity.

@article{Hanson2019RefinedEC,
  title={Refined Estimates Concerning Sumsets Contained in the Roots of Unity.},
  author={B. Hanson and G. Petridis},
  journal={arXiv: Number Theory},
  year={2019}
}
  • B. Hanson, G. Petridis
  • Published 2019
  • Mathematics
  • arXiv: Number Theory
  • We prove that the clique number of the Paley graph is at most $\sqrt{p/2} + 1$, and that any supposed additive decompositions of the set of quadratic residues can only come from co-Sidon sets. 
    11 Citations
    Character sums estimates and an application to a problem of Balog
    • 1
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    On the restricted isometry property of the Paley matrix
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    Globally optimizing small codes in real projective spaces
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    On the Thue-Vinogradov Lemma
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    Linear programming bounds for cliques in Paley graphs
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    On the directions determined by a Cartesian product in an affine Galois plane.
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    On the Clique Number of Paley Graphs of Prime Power Order
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    A note on Pseudorandom Ramsey graphs
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