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May 26, 2015 at 17:08 comment added Dr. Pi Indeed you are right, however my implication was that considering $F\left(\exp\left(\frac{t}{\sqrt{2}}\right)\right)$ would lead to a probabilistic interpretation, after all the events $d|n$ and $d+1|n$ are morally independent.
May 26, 2015 at 16:46 comment added Lucia @CaptainDarling: Note it's $\exp(-(\log z)^{2+o(1)})$, not like $\exp(-z^2/2)$ (Gaussian). I don't expect it to be anything nice.
May 26, 2015 at 16:35 comment added Dr. Pi That is interesting, doesn't the last guess suggest that the distribution of $\tau_1(n)$ should have a heuristic behavior conforming to the gaussian law ?
May 26, 2015 at 4:33 history answered Lucia CC BY-SA 3.0