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Gauss composition and generalizations
Manjul Bhargava
Lecture Notes in Computer Science
2369
, 2002, pp. 1-8
Elliptic curves - The crossroads of theory and computation
John Coates
Lecture Notes in Computer Science
2369
, 2002, pp. 9-19
The Weil and Tate pairings as building blocks for public key cryptosystems
Antoine Joux
Lecture Notes in Computer Science
2369
, 2002, pp. 20-32
Using elliptic curves of rank one towards the undecidability of Hilbert's Tenth Problem over rings of algebraic integers
Bjorn Poonen
Lecture Notes in Computer Science
2369
, 2002, pp. 33-42
On
p
-adic point counting algorithms for elliptic curves over finite fields
Takakazu Satoh
Lecture Notes in Computer Science
2369
, 2002, pp. 43-66
On arithmetically equivalent number fields of small degree
Wieb Bosma
,
Bart de Smit
Lecture Notes in Computer Science
2369
, 2002, pp. 67-79
A survey of discriminant counting
Henri Cohen
,
Francisco Diaz y Diaz
,
Michel Olivier
Lecture Notes in Computer Science
2369
, 2002, pp. 80-94
A higher-rank Mersenne problem
Graham Everest
,
Peter Rogers
,
Thomas Ward
Lecture Notes in Computer Science
2369
, 2002, pp. 95-107
An application of Siegel modular functions to Kronecker's limit formula
Takashi Fukuda
,
Keiichi Komatsu
Lecture Notes in Computer Science
2369
, 2002, pp. 108-119
Computational aspects of NUCOMP
Michael J., Jr. Jacobson
,
Alfred J. van der Poorten
Lecture Notes in Computer Science
2369
, 2002, pp. 120-133
Efficient computation of class numbers of real Abelian number fields
Stéphane R. Louboutin
Lecture Notes in Computer Science
2369
, 2002, pp. 134-147
An accelerated Buchmann algorithm for regulator computation in real quadratic fields
Ulrich Vollmer
Lecture Notes in Computer Science
2369
, 2002, pp. 148-162
Some genus 3 curves with many points
Roland Auer
,
Jaap Top
Lecture Notes in Computer Science
2369
, 2002, pp. 163-171
Trinomials
ax^7 + bx + c
and
ax^8 + bx + c
with Galois groups of order 168 and
8\cdot168
Nils Bruin
,
Noam D. Elkies
Lecture Notes in Computer Science
2369
, 2002, pp. 172-188
Computations on modular Jacobian surfaces
Enrique González-Jiménez
,
Josep González
,
Jordi Guàrdia
Lecture Notes in Computer Science
2369
, 2002, pp. 189-197
Integral points on punctured Abelian surfaces
Andrew Kresch
,
Yuri Tschinkel
Lecture Notes in Computer Science
2369
, 2002, pp. 198-204
Genus 2 curves with (3, 3)-split Jacobian and large automorphism group
Tony Shaska
Lecture Notes in Computer Science
2369
, 2002, pp. 205-218
Transportable modular symbols and the intersection pairing
Helena A. Verrill
Lecture Notes in Computer Science
2369
, 2002, pp. 219-233
Action of modular correspondences around CM points
Jean-Marc Couveignes
,
Thierry Henocq
Lecture Notes in Computer Science
2369
, 2002, pp. 234-243
Curves
Dy^2 = x^3-x
of odd analytic rank
Noam D. Elkies
Lecture Notes in Computer Science
2369
, 2002, pp. 244-251
Comparing invariants for class fields of imaginary quadratic fields
Andreas Enge
,
François Morain
Lecture Notes in Computer Science
2369
, 2002, pp. 252-266
A database of elliptic curves - First report
William A. Stein
,
Mark Watkins
Lecture Notes in Computer Science
2369
, 2002, pp. 267-275
Isogeny volcanoes and the SEA algorithm
Mireille Fouquet
,
François Morain
Lecture Notes in Computer Science
2369
, 2002, pp. 276-291
Fast elliptic curve point counting using Gaussian normal basis
Hae Young Kim
,
Jung Youl Park
,
Jung Hee Cheon
,
Je Hong Park
,
Jae Heon Kim
,
Sang Geun Hahn
Lecture Notes in Computer Science
2369
, 2002, pp. 292-307
An extension of Kedlaya's algorithm to Artin-Schreier curves in characteristic 2
Jan Denef
,
Frederik Vercauteren
Lecture Notes in Computer Science
2369
, 2002, pp. 308-323
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