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The Hardy-Littlewood method

Vaughan, R. C.

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The Hardy-Littlewood method

Record Type:	Electronic resources : Monograph/item
Title/Author:	The Hardy-Littlewood method/ R.C. Vaughan.
Author:	Vaughan, R. C.
Published:	Cambridge :Cambridge University Press, : 1997.,
Description:	vii, 232 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	1. Introduction and historical background -- 2. The simplest upper bound for G(k) -- 3. Goldbach's problems -- 4. The major arcs in Waring's problem -- 5. Vinogradov's methods -- 6. Davenport's methods -- 7. Vinogradov's upper bound for G(k) -- 8. A ternary additive problem -- 9. Homogeneous equations and Birch's theorem -- 10. A theorem of Roth -- 11. Diophantine inequalities -- 12. Wooley's upper bound for G(k).
Subject:	Hardy-Littlewood method. -
Online resource:	https://doi.org/10.1017/CBO9780511470929
ISBN:	9780511470929

The Hardy-Littlewood method
Vaughan, R. C.

The Hardy-Littlewood method[electronic resource] /R.C. Vaughan. - Second edition. - Cambridge :Cambridge University Press,1997. - vii, 232 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;125. - Cambridge tracts in mathematics ;125..

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

1. Introduction and historical background -- 2. The simplest upper bound for G(k) -- 3. Goldbach's problems -- 4. The major arcs in Waring's problem -- 5. Vinogradov's methods -- 6. Davenport's methods -- 7. Vinogradov's upper bound for G(k) -- 8. A ternary additive problem -- 9. Homogeneous equations and Birch's theorem -- 10. A theorem of Roth -- 11. Diophantine inequalities -- 12. Wooley's upper bound for G(k).

The Hardy-Littlewood method is a means of estimating the number of integer solutions of equations and was first applied to Waring's problem on representations of integers by sums of powers. This introduction to the method deals with its classical forms and outlines some of the more recent developments. Now in its second edition, it has been fully updated; extensive revisions have been made and a new chapter added to take account of major advances by Vaughan and Wooley. The reader is expected to be familiar with elementary number theory and postgraduate students should find it of great use as an advanced textbook. It will also be indispensable to all lecturers and research workers interested in number theory and it is the standard reference on the Hardy-Littlewood method.

ISBN: 9780511470929Subjects--Topical Terms:

612605
Hardy-Littlewood method.

LC Class. No.: QA241 / .V34 1997

Dewey Class. No.: 512.74

The Hardy-Littlewood method
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245 1 4 $a The Hardy-Littlewood method $h [electronic resource] / $c R.C. Vaughan.
250 $a Second edition.
260 $a Cambridge : $b Cambridge University Press, $c 1997.
300 $a vii, 232 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 125
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 1. Introduction and historical background -- 2. The simplest upper bound for G(k) -- 3. Goldbach's problems -- 4. The major arcs in Waring's problem -- 5. Vinogradov's methods -- 6. Davenport's methods -- 7. Vinogradov's upper bound for G(k) -- 8. A ternary additive problem -- 9. Homogeneous equations and Birch's theorem -- 10. A theorem of Roth -- 11. Diophantine inequalities -- 12. Wooley's upper bound for G(k).
520 $a The Hardy-Littlewood method is a means of estimating the number of integer solutions of equations and was first applied to Waring's problem on representations of integers by sums of powers. This introduction to the method deals with its classical forms and outlines some of the more recent developments. Now in its second edition, it has been fully updated; extensive revisions have been made and a new chapter added to take account of major advances by Vaughan and Wooley. The reader is expected to be familiar with elementary number theory and postgraduate students should find it of great use as an advanced textbook. It will also be indispensable to all lecturers and research workers interested in number theory and it is the standard reference on the Hardy-Littlewood method.
650 0 $a Hardy-Littlewood method. $3 612605
830 0 $a Cambridge tracts in mathematics ; $v 125. $3 3470561
856 4 0 $u https://doi.org/10.1017/CBO9780511470929