Idéaux k-réduits des ordres des corps quadratiques réels

Pierre KAPLAN

doi:10.2969/jmsj/04710171

Pierre KAPLAN

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JOURNAL FREE ACCESS

1995 Volume 47 Issue 1 Pages 171-181

DOI https://doi.org/10.2969/jmsj/04710171

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Published: 1995 Received: June 28, 1993 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: DTRECEIVED Details: Right : 19930628

Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : Idéaux k-rédults des ordres des corps quadratiques réels
Right : Idéaux k-réduits des ordres des corps quadratiques réels

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) G. Eisenstein, J. Reine Angew. Math., 27 (1844), 86-87. (Werke I., Chelsea Publishing Company, New York, 1975, pp. 111-112.)
2) C. F. Gauss, Arithmetische Untersuchungen (Disquisitiones Aritmeticae), Chelsea Publishing Company, New York, 1965.
3) P. Kaplan et P. A. Leonard, Idéaux négativement réduits d'un corps quadratique réel et un problème d'Eisenstein, L'Enseignement Mathématique, 39 (1993), 195-210.
4) P. Kaplan and K. S. Williams, The distance between ideals in the orders of a real ?Ideaux k-reduits des ordres des corps quadratiques reels 181 quadratic field, L'Enseignement Mathématique, 36 (1990), 321-358.
5) P. G. Lejeune Dirichlet and R. Dedekind, Vorlesungen über Zahlentheorie, Chelsea Publishing Company, New York, 1968.
6) Y. Mimura, On odd solutions of the equation X²-DY²=4, Proceedings of the symposium on analytic number theory and related topics, Gakushuin University, Tokyo, 1992, pp. 110-118.
7) H. C. Williams, Eisenstein problem and continued fractions, Utilitas Math., 37 (1990), 145-158.

Right : [1] G. Eisenstein, J. Reine Angew. Math., 27 (1844), 86-87. (Werke I., Chelsea Publishing Company, New York, 1975, pp. 111-112.)
[2] C. F. Gauss, Arithmetische Untersuchungen (Disquisitiones Aritmeticae), Chelsea Publishing Company, New York, 1965.
[3] P. Kaplan et P. A. Leonard, Idéaux négativement réduits d'un corps quadratique réel et un problème d'Eisenstein, L'Enseignement Mathématique, 39 (1993), 195-210.
[4] P. Kaplan and K. S. Williams, The distance between ideals in the orders of a real quadratic field, L'Enseignement Mathématique, 36 (1990), 321-358.
[5] P. G. Lejeune Dirichlet and R. Dedekind, Vorlesungen über Zahlentheorie, Chelsea Publishing Company, New York, 1968.
[6] Y. Mimura, On odd solutions of the equation X²-DY²=4, Proceedings of the symposium on analytic number theory and related topics, Gakushuin University, Tokyo, 1992, pp. 110-118.
[7] H. C. Williams, Eisenstein problem and continued fractions, Utilitas Math., 37 (1990), 145-158.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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