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[1] 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
View Article: PDF
[2] Enrique Treviño.
The least inert prime in a real quadratic field.
Math. Comp.
81
(2012)
1777-1797.
Abstract, references, and article information
View Article: PDF
[3] Norio Nawata.
$C^*$-algebras associated with real multiplication.
Proc. Amer. Math. Soc.
140
(2012)
3409-3419.
Abstract, references, and article information
View Article: PDF
[4] San Ling, Enver Ozdemir and Chaoping Xing.
Constructing irreducible polynomials over finite fields.
Math. Comp.
81
(2012)
1663-1668.
Abstract, references, and article information
View Article: PDF
[5] Sunghan Bae.
Real quadratic function fields of Richaud-Degert type with ideal class number one.
Proc. Amer. Math. Soc.
140
(2012)
403-414.
MR 2846310.
Abstract, references, and article information
View Article: PDF
[6] Étienne Fouvry, Florian Luca, Francesco Pappalardi and Igor E. Shparlinski.
Counting dihedral and quaternionic extensions.
Trans. Amer. Math. Soc.
363
(2011)
3233-3253.
MR 2775805.
Abstract, references, and article information
View Article: PDF
[7] Igor E. Shparlinski.
On quadratic fields generated by discriminants of irreducible trinomials.
Proc. Amer. Math. Soc.
138
(2010)
125-132.
MR 2550176.
Abstract, references, and article information
View Article: PDF
[8] Stéphane R. Louboutin.
On the divisibility of the class number of imaginary quadratic number fields.
Proc. Amer. Math. Soc.
137
(2009)
4025-4028.
MR 2538563.
Abstract, references, and article information
View Article: PDF
[9] Arturas Dubickas.
On the limit points of $(a_n\xi )_{n=1}^{\infty }$ mod $1$ for slowly increasing integer sequences $(a_n)_{n=1}^{\infty }$.
Proc. Amer. Math. Soc.
137
(2009)
449-456.
MR 2448563.
Abstract, references, and article information
View Article: PDF
[10] Zhi-Wei Sun.
Binomial coefficients and quadratic fields.
Proc. Amer. Math. Soc.
134
(2006)
2213-2222.
MR 2213693.
Abstract, references, and article information
View Article: PDF
[11] H. A. Helfgott and A. Venkatesh.
Integral points on elliptic curves and $3$-torsion in class groups.
J. Amer. Math. Soc.
19
(2006)
527-550.
MR 2220098.
Abstract, references, and article information
View Article: PDF
[12] Peter Ashwin and Arek Goetz.
Polygonal invariant curves for a planar piecewise isometry.
Trans. Amer. Math. Soc.
358
(2006)
373-390.
MR 2171238.
Abstract, references, and article information
View Article: PDF
[13] Dongho Byeon.
Class numbers of quadratic fields ${\mathbb Q}(\sqrt{D})$ and ${\mathbb Q}(\sqrt{tD})$.
Proc. Amer. Math. Soc.
132
(2004)
3137-3140.
MR 2073286.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[14] Karim Belabas.
On quadratic fields with large 3-rank.
Math. Comp.
73
(2004)
2061-2074.
MR 2059751.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[15] Alfred J. van der Poorten.
A Note on NUCOMP.
Math. Comp.
72
(2003)
1935-1946.
MR 1986813.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[16] A. J. van der Poorten, H. J. J. te Riele and H. C. Williams.
Corrigenda and addition to ``Computer verification of the Ankeny-Artin-Chowla
conjecture for all primes less than $100000000000$''.
Math. Comp.
72
(2003)
521-523.
MR 1933835.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[17] Hong You and Sheng Chen.
The tame kernel of imaginary quadratic fields with class number 2 or 3.
Math. Comp.
72
(2003)
1501-1509.
MR 1972749.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[18] Zhenxiang Zhang.
A one-parameter quadratic-base version of the Baillie-PSW probable prime test.
Math. Comp.
71
(2002)
1699-1734.
MR 1933051.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[19] K. Chakraborty and M. Ram Murty.
On the number of real quadratic fields with class number divisible by 3.
Proc. Amer. Math. Soc.
131
(2003)
41-44.
MR 1929021.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[20] Michael J. Jacobson Jr. and Hugh C. Williams.
New quadratic polynomials with high densities of prime values.
Math. Comp.
72
(2003)
499-519.
MR 1933834.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[21] Stéphane Louboutin.
Computation of class numbers of quadratic number fields.
Math. Comp.
71
(2002)
1735-1743.
MR 1933052.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[22] Frank Gerth III.
Comparison of 4-class ranks of certain quadratic fields.
Proc. Amer. Math. Soc.
129
(2001)
2547-2552.
MR 1838376.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[23] Walter Feit.
Some Diophantine equations of the form $x^{2}-py^{2} =z$.
Proc. Amer. Math. Soc.
129
(2001)
623-625.
MR 1800243.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[24] Schehrazad Selmane.
Tenth degree number fields with quintic fields having one real
place.
Math. Comp.
70
(2001)
845-851.
MR 1709158.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[25] A. J. van der Poorten, H. J. J. te Riele and H. C. Williams.
Computer verification of the Ankeny--Artin--Chowla Conjecture
for all primes less than $100000000000$.
Math. Comp.
70
(2001)
1311-1328.
MR 1709160.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[26] Jerzy Browkin, with an appendix by Karim Belabas and Herbert Gangl.
Computing the tame kernel of quadratic imaginary fields.
Math. Comp.
69
(2000)
1667-1683.
MR 1681124.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[27] Schehrazad Selmane.
Quadratic extensions of totally real quintic fields.
Math. Comp.
70
(2001)
837-843.
MR 1697649.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[28] Hisao Taya.
Iwasawa invariants and class numbers of quadratic fields for
the prime $3$.
Proc. Amer. Math. Soc.
128
(2000)
1285-1292.
MR 1641133.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[29] Christian Friesen.
Class group frequencies of real quadratic function fields: The degree 4 case.
Math. Comp.
69
(2000)
1213-1228.
MR 1659859.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[30] Daniel C. Shanks, Patrick J. Sime and Lawrence C. Washington.
Zeros of 2-adic $L$-functions and congruences for class numbers and fundamental units.
Math. Comp.
68
(1999)
1243-1255.
MR 1622093.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
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