Table of Contents

• 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