Values of zeta-functions, étale cohomology, and algebraic K-theory

  • Stephen Lichtenbaum
Arithmetic Aspects Of K-Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 342)


Exact Sequence Spectral Sequence Finite Field Number Field Leray Spectral Sequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    B.J. Birch, K2 of global fields, Proc. Sympos. Pure Math., vol. 20, Amer. Math. Soc., Providence, R.I. 1970.Google Scholar
  2. 2.
    A Borel, Cohomologie reelle stable de groupes S-arithmetiques classiques, Comptes Rendus de l'Academie des Sciences, vol. 274 (1972),1700–1703.MathSciNetzbMATHGoogle Scholar
  3. 3.
    Z.I. Borevich-I.R. Shafarevich,Number theory (translated by N. Greenleaf), Academic Press, New York, 1966.Google Scholar
  4. 4.
    J. Coates, On K2 and some classical conjectures in algebraic number theory, Ann. of Math. 95 (1972), 99–116.MathSciNetzbMATHCrossRefGoogle Scholar
  5. 5.
    J. Coates and S. Lichtenbaum, On ℓ-adic zeta functions (to appear).Google Scholar
  6. 6.
    K. Iwasawa, On p-adic L-functions, Ann. of Math. 89 (1969), 198–205.MathSciNetzbMATHCrossRefGoogle Scholar
  7. 7.
    T. Kubota and H.W. Leopoldt, Eine p-adische Theorie der Zetawerte, J. Reine Angew. Math. 213 (1964), 328–339.MathSciNetGoogle Scholar
  8. 8.
    S. Lichtenbaum, On the values of zeta and L-functions: I, Ann. of Math. 96 (1972), 338–360.MathSciNetzbMATHCrossRefGoogle Scholar
  9. 9.
    S. Lichtenbaum, On the values of zeta and L-functions: II (to appear).Google Scholar
  10. 10.
    D. Quillen, Cohomology of groups, Proceedings of International Congress at Nice (1970).Google Scholar
  11. 11.
    D. Quillen, Higher K-theory for categories with exact sequences, To appear in the proceedings of the symposium "New developments in topology", Oxford, June 1972.Google Scholar
  12. 12.
    J.-P. Serre, Cohomologie des groups discrets, in Prospects in Mathematics, Annals of Mathematics Studies (70), Princeton University Press, Princeton 1971.Google Scholar
  13. 13.
    C.-L. Siegel, Gesammelte Abhandlungen, Springer-Verlag 1966.Google Scholar
  14. 14.
    J. Tate, Symbols in arithemtic, Proceedings of International Congress at Nice (1970).Google Scholar
  15. 15.
    J. Tate, (Unpublished letter to Iwasawa, Jan. 20, 1971).Google Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Stephen Lichtenbaum

There are no affiliations available

Personalised recommendations