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[1] Edgar Costa and David Harvey.
Faster deterministic integer factorization.
Math. Comp.
Abstract, references, and article information
View Article: PDF
[2] Daniel J. Bernstein, Peter Birkner, Tanja Lange and Christiane Peters.
ECM using Edwards curves.
Math. Comp.
82
(2013)
1139-1179.
Abstract, references, and article information
View Article: PDF
[3] Thorsten Kleinjung.
On polynomial selection for the general number field sieve.
Math. Comp.
75
(2006)
2037-2047.
MR 2249770.
Abstract, references, and article information
View Article: PDF
[4] Koji Suzuki.
Approximating the number of integers without large prime factors.
Math. Comp.
75
(2006)
1015-1024.
MR 2199567.
Abstract, references, and article information
View Article: PDF
[5] Andrew Granville and Peter Pleasants.
Aurifeuillian factorization.
Math. Comp.
75
(2006)
497-508.
MR 2176412.
Abstract, references, and article information
View Article: PDF
[6] Anders Björn and Hans Riesel.
Table errata to ``Factors of generalized Fermat numbers''.
Math. Comp.
74
(2005)
2099-2099.
MR 1314895.
Abstract, references, and article information
View Article: PDF
[7] Koji Suzuki.
An estimate for the number of integers without large prime factors.
Math. Comp.
73
(2004)
1013-1022.
MR 2031422.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[8] Antoine Joux and Reynald Lercier.
Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the gaussian integer method.
Math. Comp.
72
(2003)
953-967.
MR 1954978.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[9] Shuhong Gao and Alan G. B. Lauder.
Hensel lifting and bivariate polynomial factorisation over finite fields.
Math. Comp.
71
(2002)
1663-1676.
MR 1933049.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[10] R. P. Brent, R. E. Crandall, K. Dilcher and C. Van Halewyn.
Three new factors of Fermat numbers.
Math. Comp.
69
(2000)
1297-1304.
MR 1697645.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[11] James McKee.
Speeding Fermat's factoring method.
Math. Comp.
68
(1999)
1729-1737.
MR 1653962.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[12] Richard P. Brent.
Factorization of the tenth Fermat number.
Math. Comp.
68
(1999)
429-451.
MR 1489968.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[13] Anders Björn and Hans Riesel.
Factors of generalized Fermat numbers.
Math. Comp.
67
(1998)
441-446.
MR 1433262.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[14] Simon Hunter and Jonathan Sorenson.
Approximating the number of integers free of large prime factors.
Math. Comp.
66
(1997)
1729-1741.
MR 1423076.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[15] Eric Bach and Ren\a’e Peralta.
Asymptotic semismoothness probabilities .
Math. Comp.
65
(1996)
1701-1715.
MR 1370848.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[16] Samuel S. Wagstaff Jr..
Aurifeuillian factorizations and the period of the Bell numbers
modulo a prime .
Math. Comp.
65
(1996)
383-391.
MR 1325876.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[17] Harvey Dubner and Wilfrid Keller.
Factors of generalized Fermat numbers
.
Math. Comp.
64
(1995)
397-405.
MR 1270618.
Abstract, references, and article information
View Article: PDF
[18] Gary B. Gostin.
New factors of Fermat numbers
.
Math. Comp.
64
(1995)
393-395.
MR 1265015.
Abstract, references, and article information
View Article: PDF
[19] A. K. Lenstra, H. W. Lenstra, M. S. Manasse and J. M. Pollard.
Addendum: ``The factorization of the ninth Fermat
number'' [Math.\ Comp.\ {\bf 61} (1993), no.\ 203, 319--349;
MR1182953 (93k:11116)]
.
Math. Comp.
64
(1995)
1357.
MR 1303085.
Abstract, references, and article information
View Article: PDF
[20] Wilfrid Keller.
New Cullen primes
.
Math. Comp.
64
(1995)
1733--1741, S39--S46.
MR 1308456.
Abstract, references, and article information
View Article: PDF
[21] Shuhong Gao and Scott A. Vanstone.
On orders of optimal normal basis generators
.
Math. Comp.
64
(1995)
1227-1233.
MR 1297469.
Abstract, references, and article information
View Article: PDF
[22] A. K. Lenstra and M. S. Manasse.
Factoring with two large primes
.
Math. Comp.
63
(1994)
785-798.
MR 1250773.
Abstract, references, and article information
View Article: PDF
[23] Richard Crandall and Barry Fagin.
Discrete weighted transforms and large-integer
arithmetic
.
Math. Comp.
62
(1994)
305-324.
MR 1185244.
Abstract, references, and article information
View Article: PDF
[24] A. K. Lenstra, H. W. Lenstra, M. S. Manasse and J. M. Pollard.
The factorization of the ninth Fermat number
.
Math. Comp.
61
(1993)
319-349.
MR 1182953.
Abstract, references, and article information
View Article: PDF
[25] Richard P. Brent.
On computing factors of cyclotomic polynomials
.
Math. Comp.
61
(1993)
131-149.
MR 1205459.
Abstract, references, and article information
View Article: PDF
[26] Robert D. Silverman and Samuel S. Wagstaff.
A practical analysis of the elliptic curve
factoring algorithm
.
Math. Comp.
61
(1993)
445-462.
MR 1122078.
Abstract, references, and article information
View Article: PDF
[27] A. O. L. Atkin and F. Morain.
Finding suitable curves for the elliptic curve
method of factorization
.
Math. Comp.
60
(1993)
399-405.
MR 1140645.
Abstract, references, and article information
View Article: PDF
[28] H. W. Lenstra and Carl Pomerance.
A rigorous time bound for factoring integers
.
J. Amer. Math. Soc.
5
(1992)
483-516.
MR 1137100.
Abstract, references, and article information
View Article: PDF
This article is available free of charge
[29] Brigitte Vallée.
Generation of elements with small modular squares
and provably fast integer factoring algorithms
.
Math. Comp.
56
(1991)
823-849.
MR 1068808.
Abstract, references, and article information
View Article: PDF
[30] J. Pila.
Frobenius maps of abelian varieties and finding
roots of unity in finite fields
.
Math. Comp.
55
(1990)
745-763.
MR 1035941.
Abstract, references, and article information
View Article: PDF
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