Sommaire

Arithmetic Gevrey series and transcendence. A survey
Galois theory and torsion points on curves
On sums of three squares
Corps de définition et points rationnels
Un théorème de transcendance en caractéristique finie
Stark's conjecture in multi-quadratic extensions, revisited
Points rationnels et méthode de Chabauty elliptique
On the annihilating ideal for trace forms
On octahedral extensions of ℚ and quadratic ℚ-curves
On Minkowski units constructed by special values of Siegel modular functions
Representation of prime powers in arithmetical progressions by binary quadratic forms
The metric simultaneous diophantine approximations over formal power series
On mean values of some zeta-functions in the critical strip
The Bloch-Kato conjecture on special values of L-functions. A survey of known results
On the n-torsion subgroup of the Brauer group of a number field
Fundamental domains for Shimura curves
A note on circular units in ℤ p -extensions
Rang de courbes elliptiques avec groupe de torsion non trivial
Conjecture de Littlewood et récurrences linéaires
The analytic continuation and the order estimate of multiple Dirichlet series
Familles de fonctions L de formes automorphes et applications
Logarithmic density of a sequence of integers and density of its ratio set
Points de hauteur bornée, topologie adélique et mesures de Tamagawa
Séries hypergéométriques et irrationalité des valeurs de la fonction zêta de Riemann
Modularity of Galois representations
The correction factor in Artin's primitive root conjecture
Sur la racine carrée de la codifférente