The summed supremum of short-interval Fourier transforms of λ(n) is o(HX) for H ≥ exp((log X)^{2/5+ε}).
33, Princeton University Press, Princeton, NJ, 2007
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Improved bounds for the Fourier uniformity conjecture
The summed supremum of short-interval Fourier transforms of λ(n) is o(HX) for H ≥ exp((log X)^{2/5+ε}).