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Sep 21, 2019 at 8:41 vote accept soupy
Sep 21, 2019 at 8:00 comment added Alexey Ustinov @soupy Yes, you need to apply Mobius inversion formula. But result will be not so nice-looking, see Knuth, Seminumerical Algorithms.
Sep 21, 2019 at 7:53 comment added soupy These are really interesting results! I'm a bit embarrassed to not notice the connection to continued fractions. Correct me if I'm wrong, but I imagine it would not be difficult to get estimates for $\sum_{1\leq a<b} l(a/b)$ and not just for $(a,b)=1$.
Sep 21, 2019 at 7:40 history answered Alexey Ustinov CC BY-SA 4.0