ENGLISH

Divisors

By Richard R. Hall , Gérald Tenenbaum

Book information

Publisher
Cambridge University Press
Year
1988
ISBN
9780521340564, 9780521091671
Language
english
Format
PDF
Filesize
1 MB (1410557 bytes)
Series
Cambridge Tracts in Mathematics
Pages
183\183
Time added
2010-05-31 15:29:46

Description

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.

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