Units in some families of algebraic number fields

L. Ya. Vulakh

Type: Article

Publication Date: 2003-11-04

Citations: 3

DOI: https://doi.org/10.1090/s0002-9947-03-03368-3

Abstract

Multi-dimensional continued fractions associated with $GL_n({\mathbf Z})$ are introduced and applied to find systems of fundamental units in some families of totally real fields and fields with signature (2,1).

Locations

Transactions of the American Mathematical Society - View - PDF

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Works Cited by This (34)

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+ PDF Chat	On the product of three homogeneous linear forms	1971	H. P. F. Swinnerton-Dyer
+	Rational Quadratic Forms	1985	Winfried Scharlau
+ PDF Chat	Indefinite quadratic forms and unipotent flows on homogeneous spaces	1989	G. A. Margulis
+ PDF Chat	Elementary and Analytic Theory of Algebraic Numbers	1991	Peter Shiu Władysław Narkiewicz
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen
+	Harmonic Analysis on Symmetric Spaces and Applications I	1985	Audrey Terras
+	Advanced Topics in Computational Number Theory	2011	Henri Cohen
+	The Markov spectra for Fuchsian groups	2000	L. Ya. Vulakh
+	Farey polytopes and continued fractions associated with discrete hyperbolic groups	1999	L. Ya. Vulakh
+	An Introduction to the Geometry of Numbers	1959	J. W. S. Cassels