Sommaire

Bases of canonical number systems in quartic algebraic number fields
Horst Brunotte ; Andrea Huszti ; Attila Pethő
p. 537-557
A Terr algorithm for computations in the infrastructure of real-quadratic number fields
Johannes Buchmann ; Ulrich Volmer
p. 559-572
Counting discriminants of number fields
Henri Cohen ; Francisco Diaz y Diaz ; Michel Olivier
p. 573-593
Solving conics over function fields
Mark van Hoeij ; John Cremona
p. 595-606
Asymptotics of number fields and the Cohen–Lenstra heuristics
Jürgen Klüners
p. 607-615
Nonsolvable nonic number fields ramified only at one small prime
Sylla Lesseni
p. 617-625
Constructing class fields over local fields
Sebastian Pauli
p. 627-652
The rank of hyperelliptic Jacobians in families of quadratic twists
Sebastian Petersen
p. 653-676
On extreme forms in dimension 8
Cordian Riener
p. 677-682
On the generalized principal ideal theorem of complex multiplication
Reinhard Schertz
p. 683-691
Fundamental units in a parametric family of not totally real quintic number fields
Andreas M. Schöpp
p. 693-706
A note on integral points on elliptic curves
Mark Watkins
p. 707-720
GiANT: Graphical Algebraic Number Theory
Aneesh Karve ; Sebastian Pauli
p. 721-727