The Hardy-Littlewood method / R.C. Vaughan.
Series Cambridge tracts in mathematics ; 125Editor: Cambridge ; New York : Cambridge University Press, 1997Edición: 2nd edDescripción: vii, 232 p. ; 24 cmISBN: 0521573475 (hardback)Tema(s): Hardy-Littlewood methodOtra clasificación: 11P55 (11L15 11P05) Recursos en línea: Publisher description1. Introduction and historical background2. The simplest upper bound for G(k)3. Goldbach's problems4. The major arcs in Waring's problem5. Vinogradov's methods6. Davenport's methods7. Vinogradov's upper bound for G(k)8. A ternary additive problem9. Homogenous equations and Birch's theorem10. A theorem of Roth11. Diophantine inequalities12. Wooley's upper bound for G(k).
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode |
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Instituto de Matemática, CONICET-UNS | Mesa P - Consultar al bibliotecario | 11 V364 (Browse shelf) | Available | A-7972 |
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| 11 J765 Elementary number theory / | 11 N384 Generalizations of the Möbius' theorem of inversion / | 11 R127 Dedekind sums / | 11 V364 The Hardy-Littlewood method / | 11 W135 Cryptanalysis of number theoretic ciphers / | 11 W187 Analytic theory of continued fractions / | 28 H194e Lectures on ergodic theory / |
Incluye referencias bibliográficas (p. [195]-228) e índice.
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).
MR, 98a:11133
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