Let λ denote the Liouville function. We show that for all sufficiently large integers N, the (non-trivial) convolution sum bound |∑1 ≤ n < N λ(n) λ(N-n)| < N-1 holds. This (essentially) answers a question posed at the 2018 AIM workshop on Sarnak's conjecture.
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Alexander P. Mangerel (2024) studied this question.
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