@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}, zbl = {0817.11064}, mrnumber = {1305287}, language = {en}, url = {https://jtnb.centre-mersenne.org/item/JTNB_1994__6_1_39_0/} }
TY - JOUR AU - David Ford AU - Pascal Letard TI - Implementing the Round Four maximal order algorithm JO - Journal de théorie des nombres de Bordeaux PY - 1994 SP - 39 EP - 80 VL - 6 IS - 1 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/item/JTNB_1994__6_1_39_0/ 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, Tome 6 (1994) no. 1, pp. 39-80. https://jtnb.centre-mersenne.org/item/JTNB_1994__6_1_39_0/
1 An Â4 extension of Q attached to a non-selfdual autormorphic form on GL(3), Mathennatische Annalen 291 (1991), 753-766. | MR | Zbl
, , ,2 Der Algorithmus von Ford/Zassenhaus zur Benechnung von Genzheitsbasen. in Polynomalgebren, Annales Universitatis Saraviensis, Series Mathematicae 1 (1987), no. 3, 60-129. | MR | Zbl
,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 | Zbl
, ,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
, , , , , ,6 A Course in Computational Algebraic Number Theory, Springer-Verlag, New York, 1993. | MR | Zbl
,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 | Zbl
,9 Algorithmic Algebraic Number Theory, Cambridge University Press, Cambridge, 1989. | MR | Zbl
, ,10 Commutative Algebra, Vol I, Van Nostrand, Princeton, New Jersey, 1958. | MR | Zbl
, ,11 On Hensel Factorization II, Symposia Mathematica. XV (1975), Academic Press, London, 499-513. | MR | Zbl
,12 Computational Problems, Methods and Results in Algebraic Number Theory, Lecture Notes in Mathematics 262, Springer-Verlag, 1972. | MR | Zbl
,