First-ever asymptotic for E.P. Stein numbers proved with an AI collaborator, published on arXiv

arampell · x · 2026-11-05

Cameron Rampell spent months working with an AI collaborator to prove the first asymptotic for E.P. Stein numbers in Epstein's put-or-take-a-square impartial combinatorial game (arXiv:2611.05898, 18 pages), with advice from Scott Kominers.

The paper proves S₂(X) = (1/π²)·X^(1/4)·log X + O(X^(1/4)) for the counting function of positions from which both legal moves lead directly to positive squares.

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