Student Number Theory seminar

Shuntario Yamagishi, Pure Mathematics Department, University of Waterloo

“Sidon Problem”

Given a sequence of natural numbers ω, we define rn(ω) = |{(a, b) : a+b = n, a < b, and a, b ∈ ω}|. In this talk, we present the proof that there exists a sequence ω such that log n ≪ rn(ω) ≪ log n.