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March 2015 A method for finding a minimal point of the lattice in cubic number fields (II)
Kan Kaneko
Tsukuba J. Math. 38(2): 227-237 (March 2015). DOI: 10.21099/tkbjm/1429103723

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 (II)." Tsukuba J. Math. 38 (2) 227 - 237, March 2015. https://doi.org/10.21099/tkbjm/1429103723

Information

Published: March 2015
First available in Project Euclid: 15 April 2015

MathSciNet: MR3336270
Digital Object Identifier: 10.21099/tkbjm/1429103723

Subjects:
Primary: 11R16 , 11R27

Keywords: cubic fields , fundamental units , Voronoi's algorithm

Rights: Copyright © 2015 University of Tsukuba, Institute of Mathematics

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Vol.38 • No. 2 • March 2015
Department of Mathematics, University of Tsukuba
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