• Corpus ID: 235254026

Siegel Zeros and Sarnak's Conjecture

  title={Siegel Zeros and Sarnak's Conjecture},
  author={Jake Chinis},
Abstract. Assuming the existence of Siegel zeros, we prove that there exists an increasing sequence of positive integers for which Chowla’s Conjecture on k-point correlations of the Liouville function holds. This extends work of Germán and Kátai, where they studied the case k = 2 under identical hypotheses. An immediate corollary, which follows from a well-known argument due to Sarnak, is that Sarnak’s Conjecture on Möbius disjointness holds. More precisely, assuming the existence of Siegel… 
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