This is a systematic account of the multiplicative structure of
integers, from the probabilistic point of view. The authors are
especially concerned with the distribution of the divisors, which is as
fundamental and important as the additive structure of the integers, and
yet until now has hardly been discussed outside of the research
literature. Hardy and Ramanujan initiated this area of research and it
was developed by Erdös in the thirties. His work led to some deep and
basic conjectures of wide application which have now essentially been
settled. This book contains detailed proofs, some of which have never
appeared in print before, of those conjectures that are concerned with
the propinquity of divisors. Consequently it will be essential reading
for all researchers in analytic number theory.