Skip to main content

Zur algebraischen Unabhängigkeit gewisser Werte der Exponentialfunktion

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1068))

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (USA)
  • 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.

Literatur

  1. Brownawell, W.D.: On the Development of Gelfond’s Method, Kapitel 4 in Number Theory:Carbondale 1979(Proceedings), Berlin-Heidelberg-New York, 1979

    Google Scholar 

  2. Brownawell, W.D.: Some Remarks on Semi-Resultants, Kapitel 14 in Trancendence Theory, Advances and Applications, London 1977

    Google Scholar 

  3. Chudnovsky, G.V.: Algebraic Independence of Some Values of the Exponentialfunction, Math. Notes 15 (1974), 391–398 (Übersetzung)

    Article  MathSciNet  Google Scholar 

  4. Chudnovsky, G.V.: Some Analytic Methods in the Theory of Transcendental Numbers und Analytic Methods in Diophantine Approximations, Preprint IM-74-8 u. 74-9, Kiev 1974, Ukrainian SSR Academy of Sciences

    Google Scholar 

  5. Chudnovsky, G.V.: A Mutual Transcendence Measure for some Classes of Numbers, Soviet Math. Dokl. 15(1974), 1424–1428 (Übersetzung)

    MathSciNet  MATH  Google Scholar 

  6. Gelfond, A.O.: Transcendental and Algebraic Numbers, New York, 1960

    Google Scholar 

  7. Nesterenko, J.V.: Approximations Diophantiennes et Nombres Transcendants, Luminy 1982, Progress in Math. 31, Birkhäuser (1983), 199–220

    MathSciNet  Google Scholar 

  8. Philippon, P.: Indépendance algebrique de valeurs de fonctions exponentielles p-adiques, J. reine angew. Math, 329(1981), 42–51

    MathSciNet  MATH  Google Scholar 

  9. Reyssat, E.: Un critère d’indépendance algébrique, J. reine angew. Math., 329(1981),66–81

    MathSciNet  MATH  Google Scholar 

  10. Shmelev, A.A.: On the Problem of the Algebraic Independence of algebraic Numbers, Math. Notes 11(1972),387–392

    Article  MATH  Google Scholar 

  11. Tijdeman, R.: An Auxiliary Result in the Theory of Transcendental Numbers II, Duke Math. J. 42 (1975), 239–247

    Article  MathSciNet  MATH  Google Scholar 

  12. Waldschmidt, M.: Nombres Transcendants, Berlin-Heidelberg-New York 1974

    Google Scholar 

  13. Waldschmidt, M., Zhu Yao Chen: Une géneralisation en plusieurs variables d’un critère de transcendance de Gel’fond, (wird erscheinen)

    Google Scholar 

  14. Waldschmidt, M.: Algebraic Independence of Transcendental Numbers, (wird erscheinen)

    Google Scholar 

  15. Warkentin, P.: Algebraische Unabhängigkeit gewisser p-adischer Zahlen, Diplomarbeit, Freiburg, 1978

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Hendrik Jager

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Endell, R. (1984). Zur algebraischen Unabhängigkeit gewisser Werte der Exponentialfunktion. In: Jager, H. (eds) Number Theory Noordwijkerhout 1983. Lecture Notes in Mathematics, vol 1068. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099443

Download citation

  • DOI: https://doi.org/10.1007/BFb0099443

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13356-8

  • Online ISBN: 978-3-540-38906-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics