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math.NT2019
Refined Estimates Concerning Sumsets Contained in the Roots of Unity
Brandon Hanson, Giorgis Petridis
We prove that the clique number of the Paley graph is at most , and that any supposed additive decompositions of the set of quadratic residues can only come from co…
math.CO2019
Long regularly-spaced and convex sequences in dense sets of integers
Brandon Hanson
Let A be a set of integers dense in a finite interval. We establish upper and lower bounds for the longest regularly-spaced and convex subsets of A and of A-A.