Description

Book Synopsis
This introduction to the Hardy-Littlewood method deals with its classical forms and outlines some of the more recent developments. Now in its second edition, it has been fully updated, and covers recent developments in detail. It is the standard reference on the Hardy-Littlewood method.

Trade Review
'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.' L'Enseignement Mathématique

Table of Contents
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. Homogenous equations and Birch's theorem; 10. A theorem of Roth; 11. Diophantine inequalities; 12. Wooley's upper bound for G(k); Bibliography.

The HardyLittlewood Method 125 Cambridge Tracts in Mathematics Series Number 125

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A Hardback by R. C. Vaughan

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    View other formats and editions of The HardyLittlewood Method 125 Cambridge Tracts in Mathematics Series Number 125 by R. C. Vaughan

    Publisher: Cambridge University Press
    Publication Date: 1/16/1997 12:00:00 AM
    ISBN13: 9780521573474, 978-0521573474
    ISBN10: 0521573475
    Also in:
    Mathematics Number theory

    Description

    Book Synopsis
    This introduction to the Hardy-Littlewood method deals with its classical forms and outlines some of the more recent developments. Now in its second edition, it has been fully updated, and covers recent developments in detail. It is the standard reference on the Hardy-Littlewood method.

    Trade Review
    '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.' L'Enseignement Mathématique

    Table of Contents
    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. Homogenous equations and Birch's theorem; 10. A theorem of Roth; 11. Diophantine inequalities; 12. Wooley's upper bound for G(k); Bibliography.

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