Siegel zeros and Sarnak's conjecture

Abstract Assuming the existence of Siegel zeros, we prove that Chowla's conjecture on ‐point correlations of the Liouville function holds at infinitely‐many scales. This extends work of Germán and Kátai, who studied the case under identical hypotheses. As an immediate corollary, which follows from a well‐known argument due to Sarnak, we obtain that Sarnak's conjecture on Möbius disjointness also holds at infinitely‐many scales.