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Prove OrdinaryElliott (openai/math family 007: Two-point Chowla and the corrected binary Elliott conjecture)…

Prove OrdinaryElliott (openai/math family 007: Two-point Chowla and the corrected binary Elliott conjecture)…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 007 of the release, Two-point Chowla and the corrected binary Elliott conjecture…

The task

Context: this statement belongs to family 007 of the release, *Two-point Chowla and the corrected binary Elliott conjecture* (Number theory). The family as a whole: Proves the ordinary two-point Chowla conjecture, with a bound $O(X/(\log X)^c)$ for Liouville correlation sums along fixed nonproportional affine forms,…

Part of raising-heart/openai-math.