Sums and differences of sets: a further improvement over AlphaEvolve

Abstract

We present a new advancement in the sum and difference of sets problem, which improves upon recent results by both DeepMind's AlphaEvolve ($\theta = 1.1584$) and subsequent explicit constructions ($\theta = 1.173050$). In this work, we construct a sequence of $U$ sets which in the limit establishes a new lower bound of $\theta = 1.173077$.