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Oct 2, 2010 at 16:40 comment added Anadim Thank you for your answer. I checked the wiki entry, but for my case the unit fractions need not be distinct, that is, not all $a_i$s (or all $b_j$s) are distinct. I wanted to find an asymptotic lower bound with respect to $n$. So basically I tried to find whether the difference can be lower bounded by some 1/poly(n), or not.
Oct 2, 2010 at 9:51 comment added Nurdin Takenov Well, actually he gave the bound - denominators should be no larger than $n$.
Oct 2, 2010 at 9:38 history answered Charles Matthews CC BY-SA 2.5