The Hardy-Littlewood method
R.C. Vaughan.
2nd ed.
Cambridge ; New York : Cambridge University Press, 1997.
vii, 232 págs. ; 24 cm.
Serie: Cambridge tracts in mathematics ; 125
ISBN: 0521573475 (hardback)
Incluye referencias bibliográficas (p. [195]-228) e índice.
Reseña: MathSciNet, 98a:11133
Contenido
- 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).