Sommaire du Fascicule no. 1

On the Carlitz problem on the number of solutions to some special equations over finite fields
Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner
Quantitative versions of the Subspace Theorem and applications
A valuation criterion for normal basis generators of Hopf-Galois extensions in characteristic p
L’hyperanneau des classes d’adèles
Differential approach for the study of duals of algebraic-geometric codes on surfaces
L 2 discrepancy of generalized Zaremba point sets
The catenary degree of Krull monoids I
Remarks on strongly modular Jacobian surfaces
Étude des fibrations elliptiques d’une surface K3
Smooth solutions to the abc equation: the xyz Conjecture
Pólya fields, Pólya groups and Pólya extensions: a question of capitulation
Borne polynomiale pour le nombre de points rationnels des courbes
Rational points on curves
Explicit Hecke series for symplectic group of genus 4
Mod p structure of alternating and non-alternating multiple harmonic sums

Sommaire du Fascicule no. 2

Torsors under tori and Néron models
The Tate pairing for Abelian varieties over finite fields
On the classification of 3-dimensional non-associative division algebras over p-adic fields
Facteurs communs et torsion en caractéristique non nulle
Propriétés combinatoires et prolongement analytique effectif de polyzêtas de Hurwitz et de leurs homologues
On the number of places of convergence for Newton’s method over number fields
Generators for the elliptic curve y 2 =x 3 -nx
Computations with Witt vectors of length 3
Flows of Mellin transforms with periodic integrator
More cubic surfaces violating the Hasse principle
Two exponential diophantine equations
Universal covering spaces and fundamental groups in algebraic geometry as schemes
Erratum à l’article Nombres de Bell et somme de factorielles

Sommaire du Fascicule no. 3

Periodic Jacobi-Perron expansions associated with a unit
Relaxed algorithms for p-adic numbers
The divisor problem for binary cubic forms
Computing the number of certain Galois representations mod p
Sur le groupe unitaire relatif à une involution d’un corps algébriquement clos
The Mordell–Lang question for endomorphisms of semiabelian varieties
Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields
An arithmetic function arising from Carmichael’s conjecture
On the Olson and the Strong Davenport constants
Higher regularizations of zeros of cuspidal automorphic L-functions of GL d