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[31] Hiroyuki Fujita.
The minimum discriminant of totally real algebraic
number fields of degree $9$ with cubic subfields
.
Math. Comp.
60
(1993)
801-810.
MR 1176709.
Abstract, references, and article information
View Article: PDF
[32] M. Pohst and J. Graf von Schmettow.
On the computation of unit groups and class groups
of totally complex quartic fields
.
Math. Comp.
60
(1993)
793-800.
MR 1164125.
Abstract, references, and article information
View Article: PDF
[33] Stéphane Louboutin.
$L$-functions and class numbers of imaginary
quadratic fields and of quadratic extensions of an imaginary
quadratic field
.
Math. Comp.
59
(1992)
213-230.
MR 1134735.
Abstract, references, and article information
View Article: PDF
[34] Daniel C. Mayer.
Multiplicities of dihedral discriminants
.
Math. Comp.
58
(1992)
831--847, S55--S58.
MR 1122071.
Abstract, references, and article information
View Article: PDF
[35] Andrew J. Lazarus.
Gaussian periods and units in certain cyclic
fields
.
Proc. Amer. Math. Soc.
115
(1992)
961-968.
MR 1093600.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[36] Stanislav Jakubec and František Marko.
Witt equivalence classes of quartic number
fields
.
Math. Comp.
58
(1992)
355-368.
MR 1094952.
Abstract, references, and article information
View Article: PDF
[37] Lawrence C. Washington.
A family of cyclic quartic fields arising from
modular curves
.
Math. Comp.
57
(1991)
763-775.
MR 1094964.
Abstract, references, and article information
View Article: PDF
[38] Gilbert W. Fung and H. C. Williams.
On the computation of a table of complex cubic
fields with discriminant $D>-10\sp 6$
.
Math. Comp.
55
(1990)
313-325.
MR 1023760.
Abstract, references, and article information
View Article: PDF
[39] Johannes Buchmann and David Ford.
On the computation of totally real quartic fields
of small discriminant
.
Math. Comp.
52
(1989)
161-174.
MR 946599.
Abstract, references, and article information
View Article: PDF
[40] Kenneth Hardy, Richard H. Hudson, David Richman and Kenneth S. Williams.
Determination of all imaginary cyclic quartic
fields with class number $2$
.
Trans. Amer. Math. Soc.
311
(1989)
1-55.
MR 929663.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[41] I. Gaál and N. Schulte.
Computing all power integral bases of cubic
fields
.
Math. Comp.
53
(1989)
689-696.
MR 979943.
Abstract, references, and article information
View Article: PDF
[42] J. Buchmann, M. Pohst and J. von Schmettow.
On the computation of unit groups and class groups
of totally real quartic fields
.
Math. Comp.
53
(1989)
387-397.
MR 970698.
Abstract, references, and article information
View Article: PDF
[43] Pascual Llorente and Jordi Quer.
On totally real cubic fields with discriminant
$D<10\sp 7$
.
Math. Comp.
50
(1988)
581-594.
MR 929555.
Abstract, references, and article information
View Article: PDF
[44] Blair K. Spearman and Kenneth S. Williams.
Cyclic quartic fields with relative integral bases
over their quadratic subfields
.
Proc. Amer. Math. Soc.
103
(1988)
687-694.
MR 947640.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[45] H. C. Williams.
Corrigenda: ``Computation of the class number and
class group of a complex cubic field'' [Math.\ Comp.\ {\bf
45} (1985), no.\ 171, 223--231; MR0790655 (86m:11078)] by
G.\ W.\ Dueck and Williams
.
Math. Comp.
50
(1988)
655-657.
MR 929564.
Abstract, references, and article information
View Article: PDF
[46] Johannes Buchmann and H. C. Williams.
On the infrastructure of the principal ideal class
of an algebraic number field of unit rank one
.
Math. Comp.
50
(1988)
569-579.
MR 929554.
Abstract, references, and article information
View Article: PDF
[47] René Schoof and Lawrence C. Washington.
Quintic polynomials and real cyclotomic fields with
large class numbers
.
Math. Comp.
50
(1988)
543-556.
MR 929552.
Abstract, references, and article information
View Article: PDF
[48] Emma Lehmer.
Connection between Gaussian periods and cyclic
units
.
Math. Comp.
50
(1988)
535-541.
MR 929551.
Abstract, references, and article information
View Article: PDF
[49] Kenneth Hardy, R. H. Hudson, D. Richman, Kenneth S. Williams and N. M. Holtz.
Calculation of the class numbers of imaginary
cyclic quartic fields
.
Math. Comp.
49
(1987)
615-620.
MR 906194.
Abstract, references, and article information
View Article: PDF
[50] Johannes Buchmann.
The computation of the fundamental unit of totally
complex quartic orders
.
Math. Comp.
48
(1987)
39-54.
MR 866097.
Abstract, references, and article information
View Article: PDF
[51] Johannes Buchmann and H. C. Williams.
On principal ideal testing in totally complex
quartic fields and the determination of certain cyclotomic
constants
.
Math. Comp.
48
(1987)
55-66.
MR 866098.
Abstract, references, and article information
View Article: PDF
[52] Lawrence C. Washington.
Class numbers of the simplest cubic fields
.
Math. Comp.
48
(1987)
371-384.
MR 866122.
Abstract, references, and article information
View Article: PDF
[53] R. A. Mollin.
Lower bounds for class numbers of real quadratic
and biquadratic fields
.
Proc. Amer. Math. Soc.
101
(1987)
439-444.
MR 908645.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[54] Günter Lettl.
A lower bound for the class number of certain cubic
number fields
.
Math. Comp.
46
(1986)
659-666.
MR 829636.
Abstract, references, and article information
View Article: PDF
[55] Kiyota Ozeki.
On binomial units of certain cubic field
.
Proc. Amer. Math. Soc.
98
(1986)
215-216.
MR 854021.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[56] G. C. Kurtz, Daniel Shanks and H. C. Williams.
Fast primality tests for numbers less than $50\cdot
10\sp 9$
.
Math. Comp.
46
(1986)
691-701.
MR 829639.
Abstract, references, and article information
View Article: PDF
[57] M. Tennenhouse and H. C. Williams.
A note on class-number one in certain real
quadratic and pure cubic fields
.
Math. Comp.
46
(1986)
333-336.
MR 815853.
Abstract, references, and article information
View Article: PDF
[58] Harvey Cohn and Jesse Deutsch.
Use of a computer scan to prove ${\bf
Q}(\sqrt{2+\sqrt 2})$ and ${\bf Q}(\sqrt{3+\sqrt 2})$ are
Euclidean
.
Math. Comp.
46
(1986)
295-299.
MR 815850.
Abstract, references, and article information
View Article: PDF
[59] G. Dueck and H. C. Williams.
Computation of the class number and class group of
a complex cubic field
.
Math. Comp.
45
(1985)
223-231.
MR 790655.
Abstract, references, and article information
View Article: PDF
[60] Veikko Ennola and Reino Turunen.
On cyclic cubic fields
.
Math. Comp.
45
(1985)
585-589.
MR 804947.
Abstract, references, and article information
View Article: PDF
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