Quentin Dubroff, Rutgers University

Abstract

I'll give four different proofs of the result that any set of n positive integers with distinct subset sums contains an element larger than 2^{n-2}/sqrt{n}. Along the way, we'll see generating functions, isoperimetric inequalities, Minkowski's theorem in the geometry of numbers, and the Berry-Esseen quantitative central limit theorem.
 

See: https://sites.math.rutgers.edu/~kmg326/GCS/GCS.html