- I was reading where if Merten's sum of Moebius terms could be shown to
be big O of k^(1/2+epsilon) that it proves the Riemman hypothesis.
I was looking at the values of this sum up to 50,000 and it never came
close to k^(1/2) over that, albeit small, range.
My question is, is this one of those hypotheses, like Riemman's, that
everyone believes is true but hasn't been proved or does the value of M
(k) occasionally bump up against or even periodically cross the k^1/2
line for some known k's?
I wasn't able to find any tables or graphs out that far.