A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Limit Theorems for Empirical Density of Greatest Common Divisors
2016
Mathematical proceedings of the Cambridge Philosophical Society (Print)
AbstractThe law of large numbers for the empirical density for the pairs of uniformly distributed integers with a given greatest common divisor is a classic result in number theory. We study the large deviations of the empirical density. We will also obtain a rate of convergence to the normal distribution for the central limit theorem. Some generalisations are provided.
doi:10.1017/s0305004116000426
fatcat:h2idp2chqffzzondaekncxajwy