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Deterministic elliptic curve primality proving for a special sequence of numbers
Alexander Abatzoglou
,
Alice Silverberg
,
Andrew V. Sutherland
,
Angela Wong
The Open Book Series
1
, 2013, pp. 1-20
Imaginary quadratic fields with isomorphic Abelian Galois groups
Athanasios Angelakis
,
Peter Stevenhagen
The Open Book Series
1
, 2013, pp. 21-39
Iterated Coleman integration for hyperelliptic curves
Jennifer S. Balakrishnan
The Open Book Series
1
, 2013, pp. 41-61
Finding ECM-friendly curves through a study of Galois properties
Razvan Barbulescu
,
Joppe W. Bos
,
Cyril Bouvier
,
Thorsten Kleinjung
,
Peter L. Montgomery
The Open Book Series
1
, 2013, pp. 63-86
Two grumpy giants and a baby
Daniel J. Bernstein
,
Tanja Lange
The Open Book Series
1
, 2013, pp. 87-111
Improved techniques for computing the ideal class group and a system of fundamental units in number fields
Jean-François Biasse
,
Claus Fieker
The Open Book Series
1
, 2013, pp. 113-133
Conditionally bounding analytic ranks of elliptic curves
Jonathan W. Bober
The Open Book Series
1
, 2013, pp. 135-144
A database of elliptic curves over
\mathbb Q(\sqrt{5})
: A first report
Jonathan Bober
,
Alyson Deines
,
Ariah Klages-Mundt
,
Benjamin LeVeque
,
R. Andrew Ohana
,
Ashwath Rabindranath
,
Paul Sharaba
,
William Stein
The Open Book Series
1
, 2013, pp. 145-166
Finding simultaneous Diophantine approximations with prescribed quality
Wieb Bosma
,
Ionica Smeets
The Open Book Series
1
, 2013, pp. 167-185
Success and challenges in determining the rational points on curves
Nils Bruin
The Open Book Series
1
, 2013, pp. 187-212
Solving quadratic equations in dimension 5 or more without factoring
Pierre Castel
The Open Book Series
1
, 2013, pp. 213-233
Counting value sets: Algorithm and complexity
Qi Cheng
,
Joshua E. Hill
,
Daqing Wan
The Open Book Series
1
, 2013, pp. 235-248
Haberland's formula and numerical computation of Petersson scalar products
Henri Cohen
The Open Book Series
1
, 2013, pp. 249-270
Approximate common divisors via lattices
Henry Cohn
,
Nadia Heninger
The Open Book Series
1
, 2013, pp. 271-293
Explicit descent in the Picard group of a cyclic cover of the projective line
Brendan Creutz
The Open Book Series
1
, 2013, pp. 295-315
Computing equations of curves with many points
Virgile Ducet
,
Claus Fieker
The Open Book Series
1
, 2013, pp. 317-334
Computing the unit group, class group, and compact representations in algebraic function fields
Kirsten Eisenträger
,
Sean Hallgren
The Open Book Series
1
, 2013, pp. 335-358
The complex polynomials
P(x)
with
\mbox{Gal}(P(x)-t)\cong M_{23}
Noam D. Elkies
The Open Book Series
1
, 2013, pp. 359-367
Experiments with the transcendental Brauer-Manin obstruction
Andreas-Stephan Elsenhans
,
Jörg Jahnel
The Open Book Series
1
, 2013, pp. 369-394
Explicit 5-descent on elliptic curves
Tom Fisher
The Open Book Series
1
, 2013, pp. 395-411
On the density of Abelian surfaces with Tate-Shafarevich group of order five times a square
Stefan Keil
,
Remke Kloosterman
The Open Book Series
1
, 2013, pp. 413-435
Improved CRT algorithm for class polynomials in genus 2
Kristin E. Lauter
,
Damien Robert
The Open Book Series
1
, 2013, pp. 437-461
Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent
Reynald Lercier
,
Christophe Ritzenthaler
,
Jeroen Sijsling
The Open Book Series
1
, 2013, pp. 463-486
Elliptic factors in Jacobians of hyperelliptic curves with certain automorphism groups
Jennifer Paulhus
The Open Book Series
1
, 2013, pp. 487-505
Isogeny volcanoes
Andrew V. Sutherland
The Open Book Series
1
, 2013, pp. 507-530
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