Refined estimates concerning sumsets contained in the roots of unity

Brandon Hanson; Giorgis Petridis

doi:10.1112/plms.12322

Refined estimates concerning sumsets contained in the roots of unity

Brandon Hanson, Giorgis Petridis

Mathematics

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We prove that the clique number of the Paley graph is at most (Formula presented.), and that any supposed additive decompositions of the set of quadratic residues can only come from co-Sidon sets.

Original language	English (US)
Pages (from-to)	353-358
Number of pages	6
Journal	Proceedings of the London Mathematical Society
Volume	122
Issue number	3
DOIs	https://doi.org/10.1112/plms.12322
State	Published - Mar 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/plms.12322

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abstract = "We prove that the clique number of the Paley graph is at most (Formula presented.), and that any supposed additive decompositions of the set of quadratic residues can only come from co-Sidon sets.",

author = "Brandon Hanson and Giorgis Petridis",

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Refined estimates concerning sumsets contained in the roots of unity

Abstract

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