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AI tool Grok aids mathematicians in five novel inequality discoveries

Researchers have detailed five mathematical discoveries made in collaboration with Grok, an AI model. These findings include a refined lower bound for the maximal Gaussian perimeter of convex sets in n-dimensional space, and sharper moment comparison inequalities on the Hamming cube. The discoveries also encompass a strengthened autoconvolution inequality, improved asymptotic bounds for g-Sidon sets, and an optimal balanced Szarek's inequality. AI

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IMPACT Demonstrates AI's potential to contribute to novel mathematical research and discovery.

RANK_REASON Academic paper detailing mathematical discoveries made in collaboration with an AI model. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

COVERAGE [1]

  1. arXiv cs.AI TIER_1 · Xinyuan Xie ·

    Grokability in five inequalities

    In this note, we report five mathematical discoveries made in collaboration with Grok, all of which have been subsequently verified by the authors. These include an improved lower bound on the maximal Gaussian perimeter of convex sets in $\mathbb{R}^n$, sharper $L_2$-$L_1$ moment…