Mathematical Reports - Comptes rendus mathématiques

of the Academy of Science | de l'Académie des sciences

Mathematical Reports
Comptes rendus mathématiques

of the Academy of Science | de l'Académie des sciences

11R11 — 4 articles found.

When the Central Norm Equals 2 in the Simple Continued Fraction Expansion of a Quadratic Surd

C. R. Math. Rep. Acad. Sci. Canada Vol. 26 (2) 2004, pp. 51–54
Vol.26 (2) 2004
R.A. Mollin Details
(Received: 2003-04-21 )
(Received: 2003-04-21 )

R.A. Mollin

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords: infrastructure of real quadratic fields, quadratic Diophantine equations, simple continued fractions

AMS Subject Classification: Continued fractions, Quadratic and bilinear equations, Quadratic extensions 11A55, 11D09, 11R11

PDF(click to download): When the Central Norm Equals 2 in the Simple Continued Fraction Expansion of a Quadratic Surd

Proof of Some Conjectures by Kaplansky

C. R. Math. Rep. Acad. Sci. Canada Vol. 23 (2) 2001, pp. 60–64
Vol.23 (2) 2001
R.A. Mollin Details
(Received: 2000-10-27 )
(Received: 2000-10-27 )

R.A. Mollin

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords: Diophantine equations, continued fractions, ideals

AMS Subject Classification: Factorization; primality, Continued fractions, Quadratic and bilinear equations, Quadratic extensions 11A51, 11A55, 11D09, 11R11

PDF(click to download): Proof of Some Conjectures by Kaplansky

Sur une conjecture de Wolfgang M. Ruppert

C. R. Math. Rep. Acad. Sci. Canada Vol. 22 (2) 2000, pp. 66–69
Vol.22 (2) 2000
O. Kihel Details
(Received: 1999-03-15 )
(Received: 1999-03-15 )

O. Kihel

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords:

AMS Subject Classification: Quadratic extensions, Class numbers; class groups; discriminants 11R11, 11R29

PDF(click to download): Sur une conjecture de Wolfgang M. Ruppert

The number of ambiguous cycles of reduced ideals

C. R. Math. Rep. Acad. Sci. Canada Vol. 17 (4) 1995, pp. 170–174
Vol.17 (4) 1995
R.A. Mollin Details
(Received: 1995-08-11 )
(Received: 1995-08-11 )

R.A. Mollin

Abstract/Résumé:

No abstract available but the full text pdf may be downloaded at the title link below.

Keywords: ambiguous cycle, continued fractions, real quadratic order, sums of squares

AMS Subject Classification: Quadratic extensions, Class numbers; class groups; discriminants, Class groups and Picard groups of orders 11R11, 11R29, 11R65

PDF(click to download): The number of ambiguous cycles of reduced ideals

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