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Divisors

Hall, R. R.

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Divisors

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Divisors/ Richard R. Hall, Gerald Tenenbaum.
作者:	Hall, R. R.
其他作者:	Tenenbaum, Gerald.
出版者:	Cambridge :Cambridge University Press, : 1988.,
面頁冊數:	xvi, 167 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Divisor theory. -
電子資源:	https://doi.org/10.1017/CBO9780511566004
ISBN:	9780511566004

Divisors
Hall, R. R.

Divisors[electronic resource] /Richard R. Hall, Gerald Tenenbaum. - Cambridge :Cambridge University Press,1988. - xvi, 167 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;90. - Cambridge tracts in mathematics ;90..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511566004Subjects--Topical Terms:

710338
Divisor theory.

LC Class. No.: QA242 / .H29 1988

Dewey Class. No.: 519.2

Divisors
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300 $a xvi, 167 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 90
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Divisor theory. $3 710338
650 0 $a Distribution (Probability theory) $3 533179
700 1 $a Tenenbaum, Gerald. $3 708474
830 0 $a Cambridge tracts in mathematics ; $v 90. $3 3470578
856 4 0 $u https://doi.org/10.1017/CBO9780511566004