Application de la logique à un problème de dimension diophantienne sur les corps ℚ p

Daniel Bertrand

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1972-1973)

  • Volume: 14, Issue: 1, page 1-15

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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 14.1 (1972-1973): 1-15. <http://eudml.org/doc/110810>.

@article{Bertrand1972-1973,
author = {Bertrand, Daniel},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {fre},
number = {1},
pages = {1-15},
publisher = {Secrétariat mathématique},
title = {Application de la logique à un problème de dimension diophantienne sur les corps $\mathbb \{Q\}_p$},
url = {http://eudml.org/doc/110810},
volume = {14},
year = {1972-1973},
}

TY - JOUR
AU - Bertrand, Daniel
TI - Application de la logique à un problème de dimension diophantienne sur les corps $\mathbb {Q}_p$
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1972-1973
PB - Secrétariat mathématique
VL - 14
IS - 1
SP - 1
EP - 15
LA - fre
UR - http://eudml.org/doc/110810
ER -

References

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  1. [1] Armbrust ( M.). - On the theorem of Ax and Kochen, Archiv der Mathematik, t. 22, 1971, p. 55-58. Zbl0221.12056MR294306
  2. [2] Ax ( J.) and Kochen ( S.). - Diophantine problems over local fields, Amer. J. of Math., t. 87, 1965, p. 605-630. Zbl0136.32805MR184930
  3. [3] Ax ( J.) and Kochen ( S.). - Decidable fields, Annals of Math., t. 83, 1966, p. 437-456. Zbl0223.02050MR201378
  4. [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). Zbl0146.42201MR207700
  5. [5] Kaplansky ( I. ) . - Maximal fields with valuations, Duke math. J., t. 9, 1942, p. 313-321. Zbl0063.03135MR6161
  6. [6] Kochen ( S. ) . - Ultraproducts in the theory of models, Annals of Math., Series 2, t. 74, 1961, p. 221-261. Zbl0132.24602MR138548
  7. [7] Lang ( S.). - On quasi algebraic closure, Annals of Math., Series 2, t. 55, 1952, p. 378-391. Zbl0046.26202MR46388
  8. [8] Ribenboim ( P.). - La conjecture d'Artin sur les équations diophantiennes. - Kingston, Queen's University, 1968(Queens Papers on pure and applied Mathematics, 14). Zbl0197.32102MR232734
  9. [9] Ribenboim ( P.). - L'arithmétique des corps. - Paris, Hermann, 1972. Zbl0253.12101MR330093
  10. [10] Schilling ( O.F.G. ) . - The theory of valuations. - New York, American mathematical Society, 1950 (Mathematical Surveys, 4). Zbl0037.30702MR43776

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