Sommaire du Fascicule no. 1

Équidistribution des sous-variétés de petite hauteur
Some remarks on almost rational torsion points
On elementary equivalence, isomorphism and isogeny
A system of simultaneous congruences arising from trinomial exponential sums
On the number of prime factors of summands of partitions
Construction de formes automorphes réflectives sur un espace de dimension 4
Special values of multiple gamma functions
Explicit lower bounds for linear forms in two logarithms
Restriction theory of the Selberg sieve, with applications
Gross’ conjecture for extensions ramified over four points of ℙ 1
On some remarkable properties of the two-dimensional Hammersley point set in base 2
An arithmetic formula of Liouville
La structure différentielle de l’anneau des formes quasi-modulaires pour SL 2 (Z)
Sur la paramétrisation des solutions des équations quadratiques
Complete solutions of a family of cubic Thue equations

Sommaire du Fascicule no. 2

Les nombres de Lucas et Lehmer sans diviseur primitif
The equation x 2n +y 2n =z 5
Kneser’s theorem for upper Banach density
On a conjecture of Watkins
On three questions concerning 0,1-polynomials
PAC fields over number fields
Finite automata and algebraic extensions of function fields
Badly approximable systems of linear forms over a field of formal series
A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip 3/4≤σ<1
Small exponent point groups on elliptic curves
A class–field theoretical calculation
Unimodular Pisot substitutions and their associated tiles

Sommaire du Fascicule no. 3

Bases of canonical number systems in quartic algebraic number fields
A Terr algorithm for computations in the infrastructure of real-quadratic number fields
Counting discriminants of number fields
Solving conics over function fields
Asymptotics of number fields and the Cohen–Lenstra heuristics
Nonsolvable nonic number fields ramified only at one small prime
Constructing class fields over local fields
The rank of hyperelliptic Jacobians in families of quadratic twists
On extreme forms in dimension 8
On the generalized principal ideal theorem of complex multiplication
Fundamental units in a parametric family of not totally real quintic number fields
A note on integral points on elliptic curves
GiANT: Graphical Algebraic Number Theory