Sommaire du Fascicule no. 1

The field-of-norms functor and the Hilbert symbol for higher local fields
Explicit bounds for split reductions of simple abelian varieties
Nombres de Pisots, matrices primitives et bêta-conjugués
On computing quaternion quotient graphs for function fields
Images directes I : Espaces rigides analytiques et images directes
The summatory function of q-additive functions on pseudo-polynomial sequences
Hopf-Galois module structure of tame biquadratic extensions
Connected abelian complex Lie groups and number fields
Failure of the Hasse principle for Châtelet surfaces in characteristic 2
Another 80-dimensional extremal lattice

Sommaire du Fascicule no. 2

The algebraic groups leading to the Roth inequalities
Isomorphisms of algebraic number fields
Relations among arithmetical functions, automatic sequences, and sum of digits functions induced by certain Gray codes
On metacyclic extensions
On the number of representations in the Waring-Goldbach problem with a prime variable in an arithmetic progression
PSL(2,7) septimic fields with a power basis
Signed Selmer groups over p-adic Lie extensions
Embedding orders into central simple algebras
Norm-Euclidean Galois fields and the Generalized Riemann Hypothesis
The arithmetic of certain del Pezzo surfaces and K3 surfaces
R-équivalence sur les familles de variétés rationnelles et méthode de la descente
A local-global principle for rational isogenies of prime degree
Invariants and coinvariants of semilocal units modulo elliptic units

Sommaire du Fascicule no. 3

Lower bounds on the class number of algebraic function fields defined over any finite field
The probability that a complete intersection is smooth
Delta-composantes des espaces de modules de revêtements
Dihedral and cyclic extensions with large class numbers
Action of the Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups in genus zero
Intégralité des coefficients de Taylor de racines d’applications miroir
On the discrete logarithm problem for plane curves
On classical weight one forms in Hida families
Binomial squares in pure cubic number fields
Siegel’s theorem and the Shafarevich conjecture
Weak multipliers for generalized van der Corput sequences
Lehmer’s conjecture for polynomials satisfying a congruence divisibility condition and an analogue for elliptic curves
Multiplicity estimate for solutions of extended Ramanujan’s system