Sommaire du Fascicule no. 1

Modified proof of a local analogue of the Grothendieck conjecture
On the parity of generalized partition functions, III
Poids de l’inertie modérée de certaines représentations cristallines
Ternary quadratic forms with rational zeros
On the maximal unramified pro-2-extension over the cyclotomic ℤ 2 -extension of an imaginary quadratic field
Elliptic curves with ℚ(ℰ[3])=ℚ(ζ 3 ) and counterexamples to local-global divisibility by 9
Remarques sur une conjecture de Lang
Eigenvalues in the large sieve inequality, II
The integral logarithm in Iwasawa theory : an exercise
A note on the Hermite–Rankin constant
Degeneration of the Kummer sequence in characteristic p>0
Explicit construction of integral bases of radical function fields

Sommaire du Fascicule no. 2

Fonctions à valeurs entières et module de Carlitz
Gaps between zeros of the derivative of the Riemann ξ-function
Propriétés et limites de la reconnaissance d’ensembles d’entiers par automates dénombrables
(Non)Automaticity of number theoretic functions
On a theorem of Mestre and Schoof
Weber’s class number problem in the cyclotomic ℤ 2 -extension of ℚ, II
Heights of roots of polynomials with odd coefficients
Linear forms of a given Diophantine type
Stickelberger’s congruences for absolute norms of relative discriminants
The circle method and pairs of quadratic forms
Finite and periodic orbits of shift radix systems
On subsequences of convergents to a quadratic irrational given by some numerical schemes
A note on the ramification of torsion points lying on curves of genus at least two
The local Jacquet-Langlands correspondence via Fourier analysis
Commentaires sur quelques résultats sur les nombres de Pisot

Sommaire du Fascicule no. 3

Small-sum pairs in abelian groups
Comparison between the fundamental group scheme of a relative scheme and that of its generic fiber
Représentations potentiellement triangulines de dimension 2
Fractions de Bernoulli-Carlitz et opérateurs q-Zeta
The period-index problem in WC-groups IV: a local transition theorem
Steinitz classes of some abelian and nonabelian extensions of even degree
Sur le développement en fraction continue d’une généralisation de la cubique de Baum et Sweet
Power values of certain quadratic polynomials
A propos de la relation galoisienne x 1 =x 2 +x 3
Manin’s conjecture for a singular sextic del Pezzo surface
Perfect powers in the summatory function of the power tower
Cohomologial dimension of Laumon 1-motives up to isogenies
A generalization of Voronoï’s Theorem to algebraic lattices
A family of varieties with exactly one pointless rational fiber
Small generators of function fields
The fluctuations in the number of points on a family of curves over a finite field
Asymptotic properties of Dedekind zeta functions in families of number fields