Skip to main content
Log in

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. A. Albert,Structure of Algebras, Amer. Math. Soc. Colloquium Publications, XXIV, 1939.

  2. S. Amitsur,Generic splitting fields of central simple algebras, Ann. of Math., 62 (1955), 8–43.

    Article  MathSciNet  Google Scholar 

  3. E. Artin and J. Tate,Class Field Theory, Benjamin, 1967.

  4. Z. Borevich and I. Shafarevich,Number Theory, Academic Press, 1966.

  5. J. W. S. Cassels and A. Fröhlich, eds.,Algebraic Number Theory, Thompson Book Company, 1967.

  6. F. Chatelet,Variations sur un thème de H. Poincaré, Ann. ENS, 59 (1944), 249–300.

    MathSciNet  Google Scholar 

  7. M. Deuring,Algebren, Springer-Verlag, 1968.

  8. H. Hasse,Zahlentheorie, Akademie-Verlag, 1969.

  9. S. Lang,Algebraic Number Theory, Addison-Wesley, 1970.

  10. P. Roquette,On the Galois cohomology of the projective linear group..., Math. Ann. 150 (1963), 411–439.

    Article  MATH  MathSciNet  Google Scholar 

  11. J.-P. Serre,Corps locaux, Hermann, 1968.

  12. J.-P. Serre,Facteurs locaux des fonctions zêta des variétés algebriques (définitions et conjectures), Séminaire Delange-Pisot-Poitou, 1969/70, exp. 19.

  13. J.-P. Serre,Zeta and L-functions, inArithmetical Algebraic Geometry, Harper and Row, 1965, 82–92.

  14. S. Turner,Zeta-functions of central simple algebras over global fields, An. Acad. Brasil. Ci., 48 (2), (1976), 171–186.

    MathSciNet  Google Scholar 

  15. A. Weil,Basic Number Theory, Springer-Verlag, 1967.

  16. O. Zariski and P. Samuel,Commutative Algebra, Vol. I, D. Van Nostrand, 1958. A. C. N. Bourbaki,Eléments de Mathematique, Algèbre Commutative, Hermann, 1961. EGA. A. Grothendieck and J. Dieudonné,Eléments de Géométrie Algébrique, I. Springer-Verlag, 1971; II, IV, Publications Mathématiques, IHES, 1961–65.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported in part by the NSF (GP 7952X2 and GP 7952X3), BNDE, CNPq, FINEP, and OAS!

About this article

Cite this article

Turner, S. The zeta function of a birational Severi-Brauer scheme. Bol. Soc. Bras. Mat 10, 25–50 (1979). https://doi.org/10.1007/BF02584628

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02584628

AMS Subject Classifications (1970)

Navigation