| 000 | 02395nam a22003618i 4500 | ||
|---|---|---|---|
| 001 | CR9780511470929 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160235.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090122s1997||||enk o ||1 0|eng|d | ||
| 020 | _a9780511470929 (ebook) | ||
| 020 | _z9780521573474 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA241 _b.V34 1997 |
| 082 | 0 | 0 |
_a512.74 _221 |
| 100 | 1 |
_aVaughan, R. C., _eauthor. |
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| 245 | 1 | 4 |
_aThe Hardy-Littlewood method / _cR.C. Vaughan. |
| 250 | _aSecond edition. | ||
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c1997. |
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| 300 |
_a1 online resource (vii, 232 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge tracts in mathematics ; _v125 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _a1. 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 | _aThe 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 | _aHardy-Littlewood method. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521573474 |
| 830 | 0 |
_aCambridge tracts in mathematics ; _v125. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511470929 |
| 999 |
_c518035 _d518033 |
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