Preview
Unable to display preview. Download preview PDF.
References
Bosma, W.; Pohst, M. E.; Computations with Finitely generated Modules over Dedekind Domains; Proceedings ISSAC'91 (1991), 151–156
Chalk, J. H. H.; Algebraic Lattices; C. R. Math. Rep. Acad. Sci. Canada, Vol. II (1980)
Cohen, H.; A Course in Computational Algebraic Number Theory; Graduate Texts in Math., Vol. 138, Springer-Verlag, 1993
Cohen, H.; Hermite and Smith Normal Form Algorithms over Dedekind Domains; to appear in Math. Comp.
Fieker, C.; Jurk, A.; Pohst, M. E.; On solving relative norm equations in algebraic number fields; to appear in Math. Comp.
Fincke, U.; Pohst, M. E.; Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis; Math. Comp. 44 (1985), 463–471
Fincke, U.; Ein Ellipsoidverfahren zur Lösung von Normgleichungen; Thesis, Düsseldorf 1984
Humbert, P.; Théorie de la réduction des formes quadratiques définies positives dans un corps algébrique K fini; Commentarii Mathematici Helvetici, Vol. 12 (1939–1940), 263–306
Jurk, A.; Über die Berechnung von Lösungen relativer Normgleichungen in algebraischen Zahlkörpern; Thesis, Düsseldorf 1993
KANT group; KANT V4; to appear in J. Symb. Comput.
Lenstra, A. K.; Lenstra, H. W.; Lovász, L; Factoring Polynomials with Rational Coefficients Math. Ann. 261 (1982), 515–534
O'Meara, O. T.; Introduction to Quadratic Forms; Grundlehren der Mathematischen Wissenschaften, Vol. 117, Springer-Verlag 1963
Pohst, M. E.; Zassenhaus, H.; Algorithmic Algebraic Number Theory; Cambridge Univ. Press 1989
Rogers, K.; Swinnerton-Dyer, H. P. F.; The Geometry of Numbers over Algebraic Number Fields; Trans. AMS, Vol. 88 (1958), 227–242
Tschernikow, S.N.; Lineare Ungleichungen; Hochschulbücher für Mathematik, Vol. 69, Deutscher Verlag der Wissenschaften, Berlin 1971
Weyl, H.; Theory of Reduction for Arithmetical Equivalence; Trans. AMS, Vol. 48 (1940), 126–164 and Vol. 51 (1942), 203–231
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Fieker, C., Pohst, M.E. (1996). On lattices over number fields. In: Cohen, H. (eds) Algorithmic Number Theory. ANTS 1996. Lecture Notes in Computer Science, vol 1122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61581-4_48
Download citation
DOI: https://doi.org/10.1007/3-540-61581-4_48
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61581-1
Online ISBN: 978-3-540-70632-8
eBook Packages: Springer Book Archive