@article{JTNB_1994__6_1_39_0, author = {David Ford and Pascal Letard}, title = {Implementing the {Round} {Four} maximal order algorithm}, journal = {Journal de Th\'eorie des Nombres de Bordeaux}, pages = {39--80}, publisher = {Universit\'e Bordeaux I}, volume = {6}, number = {1}, year = {1994}, doi = {10.5802/jtnb.105}, zbl = {0817.11064}, mrnumber = {1305287}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.105/} }
TY - JOUR TI - Implementing the Round Four maximal order algorithm JO - Journal de Théorie des Nombres de Bordeaux PY - 1994 DA - 1994/// SP - 39 EP - 80 VL - 6 IS - 1 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.105/ UR - https://zbmath.org/?q=an%3A0817.11064 UR - https://www.ams.org/mathscinet-getitem?mr=1305287 UR - https://doi.org/10.5802/jtnb.105 DO - 10.5802/jtnb.105 LA - en ID - JTNB_1994__6_1_39_0 ER -
David Ford; Pascal Letard. Implementing the Round Four maximal order algorithm. Journal de Théorie des Nombres de Bordeaux, Volume 6 (1994) no. 1, pp. 39-80. doi : 10.5802/jtnb.105. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.105/
1 An Â4 extension of Q attached to a non-selfdual autormorphic form on GL(3), Mathennatische Annalen 291 (1991), 753-766. | MR: 1135542 | Zbl: 0713.11036
, , ,2 Der Algorithmus von Ford/Zassenhaus zur Benechnung von Genzheitsbasen. in Polynomalgebren, Annales Universitatis Saraviensis, Series Mathematicae 1 (1987), no. 3, 60-129. | MR: 880225 | Zbl: 0613.12011
,3 Computing the Decomposition of Primes p and p-adic Absolute Values in Semi-simple Algebras over Q, Journal of Symbolic Computation 4 (1987), 3-10. | MR: 908407 | Zbl: 0624.12001
, ,4 On the Computation of Iritegnal Bases and Defects of Integrity, PhD Dissertation, University of Bath, 1988.
,5 Maple V Language Reference Manual, Springer-Verlag, New York, 1991. | Zbl: 0758.68038
, , , , , ,6 A Course in Computational Algebraic Number Theory, Springer-Verlag, New York, 1993. | MR: 1228206 | Zbl: 0786.11071
,7 On the Computation of the Maximal Order in a Dedekind Domain, PhD Dissertation, Ohio State University, 1978.
,8 The Construction of Maximal Orders over a Dedekind Domain, Journal of Symbolic Computation 4 (1987), 69-75. | MR: 908413 | Zbl: 0632.13003
,9 Algorithmic Algebraic Number Theory, Cambridge University Press, Cambridge, 1989. | MR: 1033013 | Zbl: 0685.12001
, ,10 Commutative Algebra, Vol I, Van Nostrand, Princeton, New Jersey, 1958. | MR: 90581 | Zbl: 0081.26501
, ,11 On Hensel Factorization II, Symposia Mathematica. XV (1975), Academic Press, London, 499-513. | MR: 389870 | Zbl: 0337.12014
,12 Computational Problems, Methods and Results in Algebraic Number Theory, Lecture Notes in Mathematics 262, Springer-Verlag, 1972. | MR: 323751 | Zbl: 0231.12001
,Cited by Sources: