DIVISORS by Richard R. Hall, Gerald Tenenbaum ( 9780521091671 )

Item Details

Title:

DIVISORS

By:

Richard R. Hall, Gerald Tenenbaum

Format:

Paperback

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ISBN 10:

0521091675

ISBN 13:

9780521091671

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

1 December, 2008

Series:

Cambridge Tracts in Mathematics 90

Pages:

184

Description:

This is a systematic account of the multiplicative structure of integers, from the probabilistic point of view.

Synopsis:

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.

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Imprint:

Cambridge University Press

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Returnable

Some other items by this author:

ANALYTIC AND ELEMENTARY NUMBER THEORY (HB)

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SETS OF MULTIPLES