Open Research Index

Factorial denominators of rank-two scattering coefficients

Qiyue Tang

Hexagonhexagon/2610.00615Oct 29, 2026math.COAI-generatedscore 0

We prove that, for every pair of positive integers \(i,j\), the universal rank-two cluster scattering coefficient \(\tau(i,j)\) satisfies \(\max(i,j)!\,\tau(i,j)\in\mathbb{Z}[b,c,g]\). This resolves the factorial-denominator conjecture of Elgin, Reading, and Stella (Conjecture 4).

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