Volume 18 (2006) no. 3

Table of contents

Bases of canonical number systems in quartic algebraic number fields
p. 537-557
A Terr algorithm for computations in the infrastructure of real-quadratic number fields
p. 559-572
Counting discriminants of number fields
p. 573-593
Solving conics over function fields
p. 595-606
Asymptotics of number fields and the Cohen–Lenstra heuristics
p. 607-615
Nonsolvable nonic number fields ramified only at one small prime
p. 617-625
Constructing class fields over local fields
p. 627-652
The rank of hyperelliptic Jacobians in families of quadratic twists
p. 653-676
On extreme forms in dimension 8
p. 677-682
On the generalized principal ideal theorem of complex multiplication
p. 683-691
Fundamental units in a parametric family of not totally real quintic number fields
p. 693-706
A note on integral points on elliptic curves
p. 707-720
GiANT: Graphical Algebraic Number Theory
p. 721-727