|
On effective computation of fundamental units. II
Authors:
Michael Pohst, Peter Weiler and Hans Zassenhaus
Journal:
Math. Comp. 38 (1982), 293-329
MSC:
Primary 12A45; Secondary 12-04
MathSciNet review:
637308
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: The new method for efficient computation of fundamental units of an algebraic number field originated by two of die authors in part I is used to develop a powerful computer program. Besides the description of this program part II contains a complete list of fundamental units of algebraic number fields of degree  and small absolute discriminant.
- [1]
D. Ford, On the Computation of the Maximal Order in a Dedekind Domain, Thesis, The Ohio State University, 1978.
- [2]
M. Pohst, ``A program for determining fundamental units,'' in SYMSAC 76, pp. 177-182.
- [3]
Michael
Pohst, On the computation of number fields of small discriminants
including the minimum discriminants of sixth degree fields, J. Number
Theory 14 (1982), no. 1, 99–117. MR 644904
(83g:12009), http://dx.doi.org/10.1016/0022-314X(82)90061-0
- [4]
M. Pohst, ``On the computation of lattice vectors of minimal length, successive minima, and reduced bases with applications,'' ACM SIGSAM Bull., v. 15, 1981, pp. 37-44.
- [5]
Michael
Pohst and Hans
Zassenhaus, An effective number geometric method
of computing the fundamental units of an algebraic number field,
Math. Comp. 31 (1977), no. 139, 754–770. MR 0498486
(58 #16595), http://dx.doi.org/10.1090/S0025-5718-1977-0498486-5
- [6]
Michael
Pohst and Hans
Zassenhaus, On effective computation of
fundamental units. I, Math. Comp.
38 (1982), no. 157, 275–291. MR 637307
(83e:12005a), http://dx.doi.org/10.1090/S0025-5718-1982-0637307-6
- [1]
- D. Ford, On the Computation of the Maximal Order in a Dedekind Domain, Thesis, The Ohio State University, 1978.
- [2]
- M. Pohst, ``A program for determining fundamental units,'' in SYMSAC 76, pp. 177-182.
- [3]
- M. Pohst, ``On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields,'' J. Number Theory. (To appear.) MR 644904 (83g:12009)
- [4]
- M. Pohst, ``On the computation of lattice vectors of minimal length, successive minima, and reduced bases with applications,'' ACM SIGSAM Bull., v. 15, 1981, pp. 37-44.
- [5]
- M. Pohst & H. Zassenhaus, ``An effective number geometric method of computing the fundamental units of an algebraic number field,'' Math. Comp., v. 31, 1977, pp. 754-770. MR 0498486 (58:16595)
- [6]
- M. Pohst & H. Zassenhaus, ``On effective computation of fundamental units. I,'' Math. Comp., v. 38, 1982, pp. 275-291. MR 637307 (83e:12005a)
Similar Articles
Retrieve articles in Mathematics of Computation
with MSC:
12A45,
12-04
Retrieve articles in all journals
with MSC:
12A45,
12-04
Additional Information
DOI:
http://dx.doi.org/10.1090/S0025-5718-1982-0637308-8
PII:
S 0025-5718(1982)0637308-8
Article copyright:
© Copyright 1982 American Mathematical Society
|
