Skip to main content
SpringerLink
Log in

Algebraic dependence of formal power series

  • Conference paper
  • First Online:
Analytic Number Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1434))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Christol, G., Kamae, T., Mendès-France, M. et Rauzy, G., Suites algébriques, automates et substitutions, Bull. Soc. Math. France, 108 (1980), 401–419.

    MathSciNet  MATH  Google Scholar 

  2. Deligne, P., Intégration sur un cycle évanescent, Invent. Math., 76 (1983), 129–143.

    Article  MathSciNet  MATH  Google Scholar 

  3. Fliess, M., Sur divers produits de séries formelles, Bull. Soc. Math. France, 102 (1974), 181–191.

    MathSciNet  MATH  Google Scholar 

  4. Furstenberg, H., Algebraic functions over finite fields, J. Algebra, 7 (1967), 271–277.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kurke, H., Pfister, G. und Roczen, M., “Henselsche Ring und algebraische Geometrie,” VEB Deutscher Verlag der Wissenschaften, Berlin, 1975.

    MATH  Google Scholar 

  6. Mendès-France, M. and Van der Poorten, A.-J., Automata and the arithmetic of formal power series, Acta Arith., XLVI (1986), 211–214.

    MathSciNet  MATH  Google Scholar 

  7. Allouche, J.-P., Mendès-France, M. et Van der Poorten, A.-J., Indépendence algébrique de certaines séries formelles, Bull. Soc. Math. France, 116 (1988), 449–454.

    MathSciNet  MATH  Google Scholar 

  8. Harase, T., Algebraic elements in formal power series rings, Israel J. Math., 63 (1988), 281–288.

    Article  MathSciNet  MATH  Google Scholar 

  9. Harase, T., Algebraic elements in formal power series rings II, Israel J. Math., 67 (1989), 62–66.

    Article  MathSciNet  MATH  Google Scholar 

  10. Denef, J. and Lipshitz, L., Algebraic power series and diagonals, J. Number Theory, 26 (1987), 46–67.

    Article  MathSciNet  MATH  Google Scholar 

  11. Sharif, H. and Woodcock, C.F., Algebraic functions over a field of positive characteristic and Hadamard products, J. London Math. Soc., (2) 37 (1988), 395–403.

    Article  MathSciNet  MATH  Google Scholar 

  12. Allouche, J.-P., Notes sur un article de Shalif et Woodcock, Sém. Théorie des Nombres, Bordeaux, Série 2,1,1 (1989), 163–187.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, 152, Tokyo, Japan

    Takashi Harase

Authors
  1. Takashi Harase
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Kenji Nagasaka Etienne Fouvry

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Harase, T. (1990). Algebraic dependence of formal power series. In: Nagasaka, K., Fouvry, E. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 1434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097129

Download citation

  • DOI: https://doi.org/10.1007/BFb0097129

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52787-9

  • Online ISBN: 978-3-540-47147-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation