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arXiv · 2506.01896

Sums and differences of sets: a further improvement over AlphaEvolve

Fan Zheng
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Abstract

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

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Fan Zheng. 2025-06-02. Sums and differences of sets: a further improvement over AlphaEvolve. https://arxiv.org/abs/2506.01896

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