Refined estimates concerning sumsets contained in the roots of unity

We prove that the clique number of the Paley graph is at most p/2+1, and that any supposed additive decompositions of the set of quadratic residues can only come from co‐Sidon sets.

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Veröffentlicht in:	Proceedings of the London Mathematical Society 2021-03, Vol.122 (3), p.353-358
Hauptverfasser:	Hanson, Brandon, Petridis, Giorgis
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Sprache:	eng
Schlagworte:	11B30 (primary)
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description	We prove that the clique number of the Paley graph is at most p/2+1, and that any supposed additive decompositions of the set of quadratic residues can only come from co‐Sidon sets.
doi_str_mv	10.1112/plms.12322
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title	Refined estimates concerning sumsets contained in the roots of unity
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