Grokability in five inequalities
Paata Ivanisvili, Xinyuan Xie
math.PR cs.AI math.AP math.CA math.FA
Abstract
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 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 $\{1,\dots,n\}$, and an optimal balanced Szarek's inequality.
Topics
Classified with taxonomy v2 on Wed, 2 Sept 2026.