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 Erdos 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.
General
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