Table of contents

A new interpretor for PARI/GP
Practical Aurifeuillian factorization
Almost powers in the Lucas sequence
Regulators of rank one quadratic twists
Landau’s function for one million billions
On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon
Fast computation of class fields given their norm group
Computation of 2-groups of positive classes of exceptional number fields
The geometry of the third moment of exponential sums
An explicit integral polynomial whose splitting field has Galois group W(E 8 )
On Elkies subgroups of ℓ-torsion points in elliptic curves defined over a finite field
On the distribution of Hawkins’ random “primes”
A “class group” obstruction for the equation Cy d =F(x,z)
On elliptic curves and random matrix theory