Skip to main content
SpringerLink
Log in

Positive definite binary quadratic forms over k[X]

  • Conference paper
  • First Online:
Number Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1380))

  • 554 Accesses

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. E. ARTIN.-Quadratischer Körper im Gebiet der höheren Kongruenzen I. Math. Zeitsch. 19 (1924), 153–206 (= Coll. p. 1–54).

    Article  MathSciNet  MATH  Google Scholar 

  2. J.W.S. CASSELS.-Rational quadratic forms. Ac. Press 1978.

    Google Scholar 

  3. G. FREY.-Rationale Punkte auf Fermatkurven und gewiwteten Modulkurven. J. Crelle 331 (1982).

    Google Scholar 

  4. E. HECKE.-Lectures on the theory of algebraic numbers. Springer 1981.

    Google Scholar 

  5. Y. HELLEGOUARCH.-Courbes elliptiques et équation de Fermat. Thèse Besançon 1972.

    Google Scholar 

  6. Y. HELLEGOUARCH.-Loi de réciprocité, critère de primalité dans . C.R. Ac. Sci. Canada, vol. VIII, no5, oct. 1986, 291–296.

    MathSciNet  MATH  Google Scholar 

  7. Y. HELLEGOUARCH, D.L. McQUILLAN, R. PAYSANT-LE ROUX.-Unités de certains sous-anneaux des corps de fonctions algébriques. Acta Arithmetica XLVIII 1987, 9–47.

    MathSciNet  MATH  Google Scholar 

  8. N. KOBLITZ.-Introduction to elliptic curves and modular forms. Springer 1984.

    Google Scholar 

  9. T.Y. LAM.-The algebraic theory of quadratic forms. Benjamin 1973.

    Google Scholar 

  10. A.M. LEGENDRE.-Théorie des Nombres. T. I, Blanchard 1955.

    Google Scholar 

  11. T. NAGELL.-Number Theory. Chelsea 1964.

    Google Scholar 

  12. R. PAYSANT-LE ROUX.-Calibre d'un corps arithmétique. Unités. Thèse, Caen, 1987.

    Google Scholar 

  13. J.P. SERRE.-Cours d'arithmétique. P.U.F., 1970.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques et de Mécaniques, F-14032, Caen Cedex

    Yves Hellegouarch

Authors
  1. Yves Hellegouarch
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Hans Peter Schlickewei Eduard Wirsing

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Hellegouarch, Y. (1989). Positive definite binary quadratic forms over k[X]. In: Schlickewei, H.P., Wirsing, E. (eds) Number Theory. Lecture Notes in Mathematics, vol 1380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086548

Download citation

  • DOI: https://doi.org/10.1007/BFb0086548

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51397-1

  • Online ISBN: 978-3-540-46205-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation