Work

Siegel zeros and Sarnak's conjecture

Year: 2026

Type: article

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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70479

Author: Jake Chinis

Institution: McGill University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7134193618

FWCI:

Cites: 16

Cited by: 6

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