[论文] Grokability in five inequalities

论文概要

研究领域: 数学 作者: Paata Ivanisvili, Xinyuan Xie 发布时间: 2026-05-06 arXiv: 2605.05193

中文摘要

在这篇笔记中，我们报告了与Grok合作完成的五项数学发现，所有发现都已被作者后续验证。这些包括：对R^n中凸集最大高斯周长的改进下界、在Hamming立方体{-1,1}^n上更锐利的L_2-L_1矩比较不等式、一个加强的自卷积不等式、对{1,...,n}中最大g-Sidon集大小的改进渐近界，以及一个最优的平衡Szarek不等式。

原文摘要

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 R^n, sharper L_2-L_1 moment comparison inequalities on the Hamming cube {-1,1}^n, a strengthened autoconvolution inequality, improved asymptotic bounds on the size of the largest g-Sidon sets in {1,...,n}, and an optimal balanced Szarek's inequality.

自动采集于 2026-05-08

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