Preprint
Aug 2026
New Lower and Upper Bounds for the Grothendieck Constant
We establish new bounds on the Grothendieck constant $K_G$: \[ \frac{6\pi}{11} \le K_G \le \frac{\pi}{2\log(1+\sqrt2)} - 10^{-4}. \] Methodologically, our lower bound approach differs from previous works by establishing limitations on the asymptotically optimal Krivine schemes, rather than giving explicit constructions...
Rahul Saha, Alan Li, Anton Xue et al.
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