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Positive definite binary quadratic forms over k[X]

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

Keywords

  • Quadratic Form
  • Ideal Class
  • Chinese Remainder Theorem
  • Binary Quadratic Form
  • Principal Genus

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References

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

    CrossRef  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 

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© 1989 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51397-1

  • Online ISBN: 978-3-540-46205-7

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