Divisors Richard R. Hall

ISBN: 9780521091671

Published: December 1st 2008

Paperback

184 pages


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Divisors  by  Richard R. Hall

Divisors by Richard R. Hall
December 1st 2008 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 184 pages | ISBN: 9780521091671 | 7.15 Mb

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 additiveMoreThis 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.



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