In the recent paper by Fernandez and Fernandez here on ArXiv, the following formula which was first proved by Diaconis and Erdos appears, on page 2.

For 0<t≤1 the distribution of the lcm of independent pairs of integers X1,X2 uniformly drawn from {1,…,n} satisfies:

P(lcm(X1,X2)≤tn2)=1−1ζ(2)⌊1t⌋∑j=11−jt(1−ln(jt))j2+Ot(lnnn).The authors extend these results to k>2, but I am mostly interested in the k=2 case.

My Question:What is the implied t−dependent constant in the Ot(lnn/n) term?

**Answer**

**Attribution***Source : Link , Question Author : kodlu , Answer Author : Community*