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 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 0024-6115 1460-244X |
| DOI: | 10.1112/plms.12322 |