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[1] Jeffrey D. Vaaler and Martin Widmer.
A note on generators of number fields.
Contemp. Math.
587
(2013)
201-211.
Book volume table of contents
View Article: PDF
[2] S. A. Katre and Anuradha S. Garge.
Matrices over commutative rings as sums of $k$-th powers.
Proc. Amer. Math. Soc.
141
(2013)
103-113.
Abstract, references, and article information
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[3] Jordi Guàrdia, Jesús Montes and Enric Nart.
Newton polygons of higher order in algebraic number theory.
Trans. Amer. Math. Soc.
364
(2012)
361-416.
Abstract, references, and article information
View Article: PDF
[4] Barry Mazur.
How can we construct abelian Galois extensions of basic number fields?.
Bull. Amer. Math. Soc.
48
(2011)
155-209.
MR 2774089.
Abstract, references, and article information
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[5] Hao Pan and Zhi-Wei Sun.
A sharp result on $m$-covers.
Proc. Amer. Math. Soc.
135
(2007)
3515-3520.
MR 2336565.
Abstract, references, and article information
View Article: PDF
[6] David Masser and Jeffrey D. Vaaler.
Counting algebraic numbers with large height II.
Trans. Amer. Math. Soc.
359
(2007)
427-445.
MR 2247898.
Abstract, references, and article information
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[7] Jean Cougnard.
Normal integral bases for $A_4$ extensions of the rationals.
Math. Comp.
75
(2006)
485-496.
MR 2176411.
Abstract, references, and article information
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[8] Ilaria Del Corso and Roberto Dvornicich.
On Ore's conjecture and its developments.
Trans. Amer. Math. Soc.
357
(2005)
3813-3829.
MR 2146651.
Abstract, references, and article information
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[9] Valérie Flammang and Georges Rhin.
Algebraic integers whose conjugates all lie in an ellipse.
Math. Comp.
74
(2005)
2007-2015.
MR 2164108.
Abstract, references, and article information
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[10] Georges Rhin and Qiang Wu.
On the absolute Mahler measure of polynomials having all zeros in a sector. II.
Math. Comp.
74
(2005)
383-388.
MR 2085898.
Abstract, references, and article information
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[11] Gregory P. Dresden.
Sums of heights of algebraic numbers.
Math. Comp.
72
(2003)
1487-1499.
MR 1972748.
Abstract, references, and article information
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This article is available free of charge
[12] Christophe Doche.
On the spectrum of the Zhang-Zagier height.
Math. Comp.
70
(2001)
419-430.
MR 1681120.
Abstract, references, and article information
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[13] S. A. Katre and Sangita A. Khule.
Matrices over orders in algebraic number fields as sums of $k$-th powers.
Proc. Amer. Math. Soc.
128
(2000)
671-675.
MR 1646194.
Abstract, references, and article information
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This article is available free of charge
[14] Carlos R. Videla.
On the constructible numbers.
Proc. Amer. Math. Soc.
127
(1999)
851-860.
MR 1469439.
Abstract, references, and article information
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[15] Johannes Buchmann and Friedrich Eisenbrand.
On factor refinement in number fields.
Math. Comp.
68
(1999)
345-350.
MR 1613766.
Abstract, references, and article information
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[16] Gregory P. Dresden.
Orbits of algebraic numbers with low heights .
Math. Comp.
67
(1998)
815-820.
MR 1468942.
Abstract, references, and article information
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This article is available free of charge
[17] Bruce C. Berndt, Heng Huat Chan and Liang-Cheng Zhang.
Ramanujan's class invariants, Kronecker's limit formula, and modular equations.
Trans. Amer. Math. Soc.
349
(1997)
2125-2173.
MR 1376539.
Abstract, references, and article information
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[18] P. R. Fuchs, C. J. Maxson and G. F. Pilz.
Rings with FZP.
Trans. Amer. Math. Soc.
349
(1997)
1271-1284.
MR 1370641.
Abstract, references, and article information
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This article is available free of charge
[19] Jim Coykendall.
Properties of the normset relating to the class group.
Proc. Amer. Math. Soc.
124
(1996)
3587-3593.
MR 1328342.
Abstract, references, and article information
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This article is available free of charge
[20] Jim Coykendall.
Normsets and determination of unique factorization in rings of
algebraic integers .
Proc. Amer. Math. Soc.
124
(1996)
1727-1732.
MR 1317034.
Abstract, references, and article information
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[21] M. Daberkow and M. Pohst.
On integral bases in relative quadratic extensions.
Math. Comp.
65
(1996)
319-329.
MR 1325866.
Abstract, references, and article information
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This article is available free of charge
[22] Georges Rhin and Christopher Smyth.
On the absolute Mahler measure of polynomials
having all zeros in a sector
.
Math. Comp.
64
(1995)
295-304.
MR 1257579.
Abstract, references, and article information
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[23] A. Schinzel.
An extension of the theorem on primitive divisors
in algebraic number fields
.
Math. Comp.
61
(1993)
441-444.
MR 1189523.
Abstract, references, and article information
View Article: PDF
[24] D. Zagier.
Algebraic numbers close to both $0$ and $1$
.
Math. Comp.
61
(1993)
485-491.
MR 1197513.
Abstract, references, and article information
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[25] H. J. Godwin and J. R. Smith.
On the Euclidean nature of four cyclic cubic
fields
.
Math. Comp.
60
(1993)
421-423.
MR 1149291.
Abstract, references, and article information
View Article: PDF
[26] Charles Helou.
On rational reciprocity
.
Proc. Amer. Math. Soc.
108
(1990)
861-866.
MR 1007498.
Abstract, references, and article information
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This article is available free of charge
[27] Bettina Just.
Integer relations among algebraic numbers
.
Math. Comp.
54
(1990)
467-477.
MR 993930.
Abstract, references, and article information
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[28] C. J. Smyth.
The mean values of totally real algebraic
integers
.
Math. Comp.
42
(1984)
663-681.
MR 736460.
Abstract, references, and article information
View Article: PDF
[29] N. R. Wilson.
Integers and basis of a number field
.
Trans. Amer. Math. Soc.
29
(1927)
111-126.
MR 1501379.
Abstract, references, and article information
View Article: PDF
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