Multidimensional Gauss Reduction Theory for conjugacy classes of SL(n,Z)

Oleg Karpenkov

Type: Preprint

Publication Date: 2007-01-01

Citations: 5

DOI: https://doi.org/10.48550/arxiv.0711.0830

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+	Geometric Continued Fractions as Invariants in the Topological Classification of Anosov Diffeomorphisms of Tori	2009	Grisha Kolutsky
+	The conjugacy problem in $GL(n,Z)$	2018	Bettina Eick Tommy Hofmann E. A. O’Brien
+	Gauss Reduction in Higher Dimensions	2013	Oleg Karpenkov
+	Continued Fraction approach to Gauss Reduction Theory	2021	Oleg Karpenkov
+	On Asymptotic Reducibility in SL(3,Z)	2012	Oleg Karpenkov

Works Cited by This (19)

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+ PDF Chat	Elementary notions of lattice trigonometry	2008	Oleg Karpenkov
+	Period functions and the Selberg zeta function for the modular group.	1997	James B. Lewis Don Zagier
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+	Sails and Hilbert bases	2000	Jacques-Olivier Moussafir
+	The simplest 2-dimensional continued fraction	1996	E. I. Korkina
+ PDF Chat	Higher-dimensional analogues of periodic continued fractions and cusp singularities	1983	Hiroyasu Tsuchihashi
+	Note on the Product of Three Homogeneous Linear Forms	1941	H. Davenport
+	Klein polyhedra for three extremal cubic forms	2005	V. I. Parusnikov
+	On the Product of Three Homogeneous Linear Forms	1938	H. Davenport
+	Klein polyhedra for the fourth extremal cubic form	2000	V. I. Parusnikov