Sommaire du Fascicule no. 1

Automates et algébricités
Binary quadratic forms and Eichler orders
Designs, groups and lattices
On some equations over finite fields
A contribution to infinite disjoint covering systems
On equations defining fake elliptic curves
Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu)
New ramification breaks and additive Galois structure
Critical and ramification points of the modular parametrization of an elliptic curve
The joint distribution of Q-additive functions on polynomials over finite fields
Character sums and products of factorials modulo p
On two-parametric family of quartic Thue equations
Rigid cohomology and p-adic point counting
Restricted set addition in Abelian groups: results and conjectures
On the existence of Minkowski units in totally real cyclic fields
On a mixed Littlewood conjecture for quadratic numbers
Systems of quadratic diophantine inequalities
On a generalization of the Selection Theorem of Mahler
Galois covers of ℙ 1 over ℚ with prescribed local or global behavior by specialization
Abstract β-expansions and ultimately periodic representations
Counting invertible matrices and uniform distribution
Differences in sets of lengths of Krull monoids with finite class group
Complexity of Hartman sequences
Multiplicative Dedekind η-function and representations of finite groups
Linear independence of values of a certain generalisation of the exponential function – a new proof of a theorem of Carlson
Interpolation of entire functions on regular sparse sets and q-Taylor series
Stable reduction of three point covers
Diophantine equations with linear recurrences An overview of some recent progress

Sommaire du Fascicule no. 2

On the Euclidean minimum of some real number fields
Sublattices of certain Coxeter lattices
Comparing orders of Selmer groups
Counting cyclic quartic extensions of a number field
Le théorème de Skolem-Noether pour les modules sur des anneaux principaux
On the Galois group of generalized Laguerre polynomials
Généralisation d’un théorème d’Iwasawa
Kronecker-Weber via Stickelberger
On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes
Sur la dimension cohomologique des pro-p-extensions des corps de nombres
Obstructions aux déformations de représentations galoisiennes réductibles et groupes de classes
Sur le 2-groupe de classes des corps multiquadratiques réels
Conjecture principale équivariante, idéaux de Fitting et annulateurs en théorie d’Iwasawa
K 2 et conjecture de Greenberg dans les ℤ p -extensions multiples
Ramification groups in Artin-Schreier-Witt extensions

Sommaire du Fascicule no. 3

Sharper ABC-based bounds for congruent polynomials
Division-ample sets and the Diophantine problem for rings of integers
On the length of the continued fraction for values of quotients of power sums
Effective bounds for the zeros of linear recurrences in function fields
Sur les corps de Hilbert-Speiser
On the ring of p-integers of a cyclic p-extension over a number field
The p-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large
On coefficient valuations of Eisenstein polynomials
On linear normal lattices configurations
On the largest prime factor of n!+2 n -1
Géométrie réelle des dessins d’enfant : une étude des composantes irréductibles
On the computation of Hermite-Humbert constants for real quadratic number fields
On sum-sets and product-sets of complex numbers
On the exceptional set of Lagrange’s equation with three prime and one almost–prime variables
The cubics which are differences of two conjugates of an algebraic integer