Sommaire du Fascicule no. 1

Energy Minimization Principle for non-archimedean curves
On a probabilistic local-global principle for torsion on elliptic curves
Explicit L 2 bounds for the Riemann ζ function
Relative class numbers of subfields of the p-th cyclotomic field
Integral points on affine quadric surfaces
On a bounded remainder set for a digital Kronecker sequence
Effect of increasing the ramification on pseudo-deformation rings
Bad places for the approximation property for finite groups
Local Oort groups and the isolated differential data criterion
Growth of points on hyperelliptic curves over number fields
Oscillations in the Goldbach conjecture
On abelian points of varieties intersecting subgroups in a torus

Sommaire du Fascicule no. 2

On the equality of periods of Kontsevich–Zagier
Local constancy for reductions of two-dimensional crystalline representations
Enumerating D 4 quartics and a Galois group bias over function fields
Moduli Spaces of Shtukas over the Projective Line
Transformée de Fourier–Mukai sur les schémas formels
The level of distribution of the sum-of-digits function of linear recurrence number systems
The Fibonacci sequence and an elliptic curve
On the p-torsion of the Tate–Shafarevich group of abelian varieties over higher dimensional bases over finite fields
Remarks on a paper of J. Barát and P.P. Varjú
Idéaux premiers totalement décomposés et sommes de Newton
Fields of definition of abelian subvarieties
A note on finite embedding problems with nilpotent kernel
A short note on higher Mordell integrals
Root number of the Jacobian of y 2 =x p +a
On pseudo-null Iwasawa modules
The natural extension of the Gauss map and the Hermite best approximations

Sommaire du Fascicule no. 3

On Dirichlet biquadratic fields
On genera containing non-split Eichler orders over function fields
Effective equidistribution of lattice points in positive characteristic
On a family of unit equations over simplest cubic fields
An a priori bound for rational functions on the Berkovich projective line
The Manin–Drinfeld theorem and the rationality of Rademacher symbols
Linear Relations of Siegel Poincaré Series and Non-vanishing of the Central Values of Spinor L-functions
Polynomial approximations in a generalized Nyman–Beurling criterion
Factoring Gleason polynomials modulo 2
A note on Quebbemann’s extremal lattices of rank 64
Upper bounds and spectrum for approximation exponents for subspaces of ℝ n
Control Theorems for Fine Selmer Groups
On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple ℤ p -Extensions Over Imaginary Quadratic Fields
Local distinction, quadratic base change and automorphic induction for GL n
Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers
On the Decomposition of Hecke Polynomials over Parabolic Hecke Algebras