Odd order cases of the logarithmically averaged Chowla conjecture
Odd order cases of the logarithmically averaged Chowla conjecture
A famous conjecture of Chowla states that the Liouville function λ(n) has negligible correlations with its shifts. Recently, the authors established a weak form of the logarithmically averaged Elliott conjecture on correlations of multiplicative functions, which in turn implied all the odd order cases of the logarithmically averaged Chowla conjecture. …