Application de la logique à un problème de dimension diophantienne sur les corps p
Séminaire Delange-Pisot-Poitou. Théorie des nombres, Volume 14 (1972-1973) no. 1, Talk no. 14, 15 p.
@article{SDPP_1972-1973__14_1_A12_0,
     author = {Bertrand, Daniel},
     title = {Application de la logique \`a un probl\`eme de dimension diophantienne sur les corps $\mathbb {Q}\_p$},
     journal = {S\'eminaire Delange-Pisot-Poitou. Th\'eorie des nombres},
     publisher = {Secr\'etariat math\'ematique},
     volume = {14},
     number = {1},
     year = {1972-1973},
     note = {talk:14},
     zbl = {0331.12106},
     mrnumber = {472789},
     language = {fr},
     url = {http://www.numdam.org/item/SDPP_1972-1973__14_1_A12_0}
}
Bertrand, Daniel. Application de la logique à un problème de dimension diophantienne sur les corps $\mathbb {Q}_p$. Séminaire Delange-Pisot-Poitou. Théorie des nombres, Volume 14 (1972-1973) no. 1, Talk no. 14, 15 p. http://www.numdam.org/item/SDPP_1972-1973__14_1_A12_0/

[1] Armbrust (M.). - On the theorem of Ax and Kochen, Archiv der Mathematik, t. 22, 1971, p. 55-58. | MR 294306 | Zbl 0221.12056

[2] Ax (J.) and Kochen (S.). - Diophantine problems over local fields, Amer. J. of Math., t. 87, 1965, p. 605-630. | MR 184930 | Zbl 0136.32805

[3] Ax (J.) and Kochen (S.). - Decidable fields, Annals of Math., t. 83, 1966, p. 437-456. | MR 201378 | Zbl 0223.02050

[4] Greenberg (M.J.). - Rational points in henselian discret valuation rings. - Paris, Presses universitaires de France, 1966 (Institut des Hautes Etudes Scientifiques, Publications mathématiques, 31, p. 59-64). | Numdam | MR 207700 | Zbl 0146.42201

[5] Kaplansky ( I. ) . - Maximal fields with valuations, Duke math. J., t. 9, 1942, p. 313-321. | MR 6161 | Zbl 0063.03135

[6] Kochen (S. ) . - Ultraproducts in the theory of models, Annals of Math., Series 2, t. 74, 1961, p. 221-261. | MR 138548 | Zbl 0132.24602

[7] Lang (S.). - On quasi algebraic closure, Annals of Math., Series 2, t. 55, 1952, p. 378-391. | MR 46388 | Zbl 0046.26202

[8] Ribenboim (P.). - La conjecture d'Artin sur les équations diophantiennes. - Kingston, Queen's University, 1968(Queens Papers on pure and applied Mathematics, 14). | MR 232734 | Zbl 0197.32102

[9] Ribenboim (P.). - L'arithmétique des corps. - Paris, Hermann, 1972. | MR 330093 | Zbl 0253.12101

[10] Schilling (O.F.G. ) . - The theory of valuations. - New York, American mathematical Society, 1950 (Mathematical Surveys, 4). | MR 43776 | Zbl 0037.30702