Refined estimates concerning sumsets contained in the roots of unity

By Brandon Hanson, Giorgis Petridis. Proceedings of the London Mathematical Society, 2019

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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.

Subfields: Algebra and Number Theory, Applied Mathematics, Discrete Mathematics and Combinatorics

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