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The Hardy-Littlewood Method

2nd Edition


Part of Cambridge Tracts in Mathematics

  • Date Published: January 1997
  • availability: Available
  • format: Hardback
  • isbn: 9780521573474

£ 127.00

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About the Authors
  • 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.

    • Uses extensive exercises
    • New and updated material
    • Suitable for Master's courses or in last year of a four year degree
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    Reviews & endorsements

    '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

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    Product details

    • Edition: 2nd Edition
    • Date Published: January 1997
    • format: Hardback
    • isbn: 9780521573474
    • length: 248 pages
    • dimensions: 236 x 157 x 19 mm
    • weight: 0.48kg
    • availability: Available
  • 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)

  • Author

    R. C. Vaughan

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