Remark: Family 007. Two-point Chowla and the corrected binary Elliott conjecture

Proves the ordinary two-point Chowla conjecture, with a bound $O(X/(\log X{)}^c)$ for Liouville correlation sums along fixed nonproportional affine forms, where $c>0$ is absolute. More generally, proves the binary corrected Elliott conjecture for complex multiplicative functions bounded by one when one factor is uniformly nonpretentious against each fixed Dirichlet character times $n^{it}$ for $|t|\le X$.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.