Euclidean algorithm in small Abelian fields

Władysław Narkiewicz

doi:10.7169/facm/1229619657

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Home > Journals > Funct. Approx. Comment. Math. > Volume 37 > Issue 2 > Article

September 2007 Euclidean algorithm in small Abelian fields

Władysław Narkiewicz

Funct. Approx. Comment. Math. 37(2): 337-340 (September 2007). DOI: 10.7169/facm/1229619657

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Abstract

It is shown that a small change in the argument of Harper and Murty implies that there are at most two real quadratic fields with class-number one and without Euclidean algorithm.

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Władysław Narkiewicz. "Euclidean algorithm in small Abelian fields." Funct. Approx. Comment. Math. 37 (2) 337 - 340, September 2007. https://doi.org/10.7169/facm/1229619657

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Published: September 2007

First available in Project Euclid: 18 December 2008

zbMATH: 1151.11349

MathSciNet: MR2363830

Digital Object Identifier: 10.7169/facm/1229619657

Subjects:

Primary: 11R11

Secondary: 11R20 , 13F07

Keywords: Abelian cubic fields , Euclidean algorithm , real quadratic fields

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Funct. Approx. Comment. Math.

Vol.37 • No. 2 • September 2007

Adam Mickiewicz University, Faculty of Mathematics and Computer Science

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Władysław Narkiewicz "Euclidean algorithm in small Abelian fields," Functiones et Approximatio Commentarii Mathematici, Funct. Approx. Comment. Math. 37(2), 337-340, (September 2007)

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