3 Dec
2006
3 Dec
'06
11:08 p.m.
On 12/3/06, Daniel Asimov <dasimov@earthlink.net> wrote:
... ------------------------------------------------------------------ Let f(N) be the probability that 4 random integers i,j,k,m in the range 1 <= i,j,k,m <= N satisfy
gcd(i,j) = gcd(k,m) .
Find the limit of f(N) as N -> oo. ------------------------------------------------------------------ ...
Very nice. I suppose I'd better put in some blank lines as well, before I continue ... I have to admit I've still no idea why \sum \mu(k) / k^2 = 6 / \pi^2 --- what's more neither has Maple, which makes me feel a little better. WFL