Skip to main content
Log in

Über das Abelsche Analogon des Lindemannschen Satzes I

  • Published:
Inventiones mathematicae Aims and scope

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.

Literatur

  1. Anderson, M.: Linear forms in algebraic points of an elliptic function, Ph.D. dissertation (Nottingham, 1978)

  2. Baker, A.: Transcendental Number Theory, Cambridge University Press 1975

  3. Bertrand, D.: Problèmes locaux. Soc. Math. de France, Astérisque69–70, 163–189 (1979)

    Google Scholar 

  4. Choodnovsky, G.V.: Algebraic independence of the values of elliptic function at algebraic points. Invent. math.61, 267–290 (1980)

    Google Scholar 

  5. Hartshorne, R.: Algebraic geometry. Berlin-Heidelberg-New York: Springer 1979

    Google Scholar 

  6. Hodge, W.V.D., Pedoe, D.: Methods of algebraic geometry, vol. 1, 2, Cambridge (1952)

  7. Lindemann, F.: Über die Zahl π. Math. Ann.20, 213–225

  8. Macaulay, F.S.: The algebraic theory of modular systems. Stechert-Hafner Service Agency, New York and London 1964 (reprinted)

    Google Scholar 

  9. Masser, D.W., Wüstholz, G.: Zero estimates on group varieties I. Invent. math.54, 489–516 (1981)

    Google Scholar 

  10. Masser, D.W., Wüstholz, G.: Algebraic independence properties, of values of elliptic functions, Journées Arith. Exeter (1980), London M.S. Lecture Notes

  11. Masser, D.W., Wüstholz, G.: Fields of large transcendence degree generated by values of elliptic functions. Invent. math.

  12. Masser, D.W., Wüstholz, G.: Zero Estimates on Group Varieties II. in preparation

  13. Philippon, P.: Indépendance algébrique de valeurs de fonctionsp-adiques. J. reine u. angew. Math.329, 42–51 (1981)

    Google Scholar 

  14. Philippon, P.: Indépendance Algébrique et Variétés Abéliennes. C.R. Acad. Sci. Paris, Ser. I, t. 294, 257–259 (1982)

    Google Scholar 

  15. Philippon, P.: Variétés Abéliennes et Indépendance Algébrique I. (preprint)

  16. Schneider, Th.: Einführung in die transzendenten Zahlen. Berlin-Heidelberg-New York: Springer 1957

    Google Scholar 

  17. Serre, JP.: Quelques propriétés des groupes algébriques commutatifs. Soc. Math. de France, Astérique69–70, 191–202 (1979)

    Google Scholar 

  18. Waldschmidt, M.: Nombres transcendants et groupes algébriques. Soc. Math. de France Astérisque69–70, (1979)

  19. Wüstholz, G.: Sur l'analogue abélien du Théorème de Lindemann. C.R. Acad. Sci. Paris Ser. I, t. 295, 35–37 (1982).

    Google Scholar 

  20. Wüstholz, G.: Multiplizitätsabschätzungen auf algebraischen Gruppen. Ann. of Math. (in press)

  21. Hochschild, G.: The Structure of Lie Groups. San Francisco, London, Amsterdam: Holden-Day 1965

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wüstholz, G. Über das Abelsche Analogon des Lindemannschen Satzes I. Invent Math 72, 363–388 (1983). https://doi.org/10.1007/BF01398393

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01398393

Navigation