Keywords
- Quadratic Form
- Ideal Class
- Chinese Remainder Theorem
- Binary Quadratic Form
- Principal Genus
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
E. ARTIN.-Quadratischer Körper im Gebiet der höheren Kongruenzen I. Math. Zeitsch. 19 (1924), 153–206 (= Coll. p. 1–54).
J.W.S. CASSELS.-Rational quadratic forms. Ac. Press 1978.
G. FREY.-Rationale Punkte auf Fermatkurven und gewiwteten Modulkurven. J. Crelle 331 (1982).
E. HECKE.-Lectures on the theory of algebraic numbers. Springer 1981.
Y. HELLEGOUARCH.-Courbes elliptiques et équation de Fermat. Thèse Besançon 1972.
Y. HELLEGOUARCH.-Loi de réciprocité, critère de primalité dans
. C.R. Ac. Sci. Canada, vol. VIII, no5, oct. 1986, 291–296.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.
N. KOBLITZ.-Introduction to elliptic curves and modular forms. Springer 1984.
T.Y. LAM.-The algebraic theory of quadratic forms. Benjamin 1973.
A.M. LEGENDRE.-Théorie des Nombres. T. I, Blanchard 1955.
T. NAGELL.-Number Theory. Chelsea 1964.
R. PAYSANT-LE ROUX.-Calibre d'un corps arithmétique. Unités. Thèse, Caen, 1987.
J.P. SERRE.-Cours d'arithmétique. P.U.F., 1970.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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

. C.R. Ac. Sci. Canada, vol. VIII, no5, oct. 1986, 291–296.