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July 2014 A method for finding a minimal point of the lattice in cubic number fields
Kan Kaneko
Tsukuba J. Math. 38(1): 85-121 (July 2014). DOI: 10.21099/tkbjm/1407938674

Abstract

We give a method for finding a minimal point adjacent to 1 of the reduced lattice in cubic number fields using an isotropic vector of the quadratic form and two-dimensional lattice.

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Kan Kaneko. "A method for finding a minimal point of the lattice in cubic number fields." Tsukuba J. Math. 38 (1) 85 - 121, July 2014. https://doi.org/10.21099/tkbjm/1407938674

Information

Published: July 2014
First available in Project Euclid: 13 August 2014

zbMATH: 1303.13020
MathSciNet: MR3261915
Digital Object Identifier: 10.21099/tkbjm/1407938674

Subjects:
Primary: 11R16 , 11R27

Keywords: cubic fields , fundamental units , Voronoi algorithm

Rights: Copyright © 2014 University of Tsukuba, Institute of Mathematics

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Vol.38 • No. 1 • July 2014
Department of Mathematics, University of Tsukuba
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