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Relations diophantiennes et la solution négative du 10e Problème de Hilbert (d'après M. Davis, H. Putnam, J. Robinson et I. Matiasevitch)

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Séminaire Bourbaki vol. 1970/71 Exposés 382–399

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 244))

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Bibliographie

  1. David HILBERT-Mathematische Probleme. Vortrag gehalten auf dem internationalen Mathematiker-Kongress zu Paris 1900. Traduction anglaise, Bull. Amer. Math. Soc., 8 (1901/1902), 437–479.

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  2. Julia ROBINSON-Existential definability in aritmetic, Trans. A.M.S., vol. 72 (1952), 437–449.

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  3. Martin DAVIS, Hilary PUTNAM and Julia ROBINSON-The decision problem for exponential diophantine equations, Annals of Math., vol. 74 (1961), 425–436.

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  4. Iu. V. MATIASEVITCH-Enumerable sets are diophantine, Soviet Mathematics, Mar–Apr. 1970, vol. 11, number 2, p. 354.

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  5. Daniel LACOMBE-La théorie des fonctions récursives et ses applications, Bull. Soc. Math. France, 88 (1960), 393–468.

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  6. Hilary PUTNAM-An unsolvable problem in number theory, J. of Symb. Logic, t. 25 (1960), 220–232.

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  7. Martin DAVIS-An explicit diophantine definition of the exponential function, (non publié).

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Authors
  1. Jean-Pierre Azra
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A. Donald Heidelberg B. Eckmann Zürich

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© 1971 N. Bourbaki

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Azra, JP. (1971). Relations diophantiennes et la solution négative du 10e Problème de Hilbert (d'après M. Davis, H. Putnam, J. Robinson et I. Matiasevitch). In: Heidelberg, A.D., Zürich, B.E. (eds) Séminaire Bourbaki vol. 1970/71 Exposés 382–399. Lecture Notes in Mathematics, vol 244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058694

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  • DOI: https://doi.org/10.1007/BFb0058694

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  • Print ISBN: 978-3-540-05720-8

  • Online ISBN: 978-3-540-37094-9

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