An almost sharp quantitative version of the Duffin-Schaeffer conjecture
We prove a quantitative version of the Duffin–Schaeffer conjecture with an almost sharp error term. Precisely, let ψ : N → [0, 1/2] be a function such that the series P∞ q=1 ϕ(q)ψ(q)/q diverges. In addition, given α ∈ R and Q > 1, let N(α; Q) be the number of coprime pairs (a, q) ∈ Z × N with q 6...
| Main Authors: | , , |
|---|---|
| פורמט: | Journal article |
| שפה: | English |
| יצא לאור: |
Duke University Press
2024
|