Équations diophantiennes $p$-adiques

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1. [1] J. Ax et S. Kochen - Diophantine problems over local fields I. Amer. J. of Math. , 87, 1965, p. 605-630. Zbl0136.32805MR184930
2. [2] C. Chevalley - Démonstration d'une hypothèse de M. Artin.Abh. Math. Sem. Hausischen Univ. vol. 11 (1935). Zbl0011.14504JFM61.1043.01
3. [3] K. Godel - The consistency of the continuum hypothesis. Princeton (1940). Zbl0061.00902MR2514
4. [4] N. Greenleaf - Irreducible subvarieties and rational points. Amer. J. of Math. (janvier 1965). Zbl0136.16201MR182625
5. [5] I. Kaplansky - Maximal fields with valuations. Duke Math. J., vol. 9, (1942). Zbl0063.03135MR6161
6. [6] S. Kochen - Ultraproducts in the theory of models. Ann. of Math., vol. 74, (1961). Zbl0132.24602MR138548
7. [7] S. Lang - On quasi algebraic closure. Ann. of Math., vol. 55, (1952). Zbl0046.26202MR46388
8. [8] S. Lang - Theorems and conjectures in diophantine equations. Bull. Amer. Math. Soc., vol. 66 (1960). Zbl0095.26301MR118698
9. [9] D. Lewis - Cubic homogeneous polynomials over p-adic number fields. Ann. of Math., vol. 56 (1952). Zbl0048.02602MR49947
10. [10] J.-P. Serre - Corps locaux. Publ. de l'Institut de Math. de Nancago, Hermann, Paris (1962). Zbl0423.12017MR354618

1. Yves Pourchet, Formes cubiques sur les corps locaux