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We prove a quantitative version of the Duffin-Schaeffer conjecture with an almost sharp error term. Precisely, let: N0, 1/2 be a function such that the series ₐ=₁^ (q) (q) /q diverges. In addition, given and Q1, let N (;Q) be the number of coprime pairs (a, q) with q Q and |-a/q|0. This improves upon results of Koukoulopoulos-Maynard and of Aistleitner-Borda-Hauke.
Koukoulopoulos et al. (Mon,) studied this question.