Skip to main content

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

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

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  Google Scholar 

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

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1971 N. Bourbaki

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05720-8

  • Online ISBN: 978-3-540-37094-9

  • eBook Packages: Springer Book Archive