Sommaire du Fascicule no. 1

Non-trivial Ш in the Jacobian of an infinite family of curves of genus 2
Factoring polynomials over global fields
Problems and results on the distribution of algebraic points on algebraic varieties
Artin formalism for Selberg zeta functions of co-finite Kleinian groups
Fonctions zêta des hauteurs
Algebraic properties of a family of Jacobi polynomials
Congruences between modular forms and lowering the level mod ℓ n
Sur la 2-cohomologie non abélienne des modèles réguliers des anneaux locaux henséliens
The weight distribution of the functional codes defined by forms of degree 2 on Hermitian surfaces
Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values
Pretentiousness in analytic number theory
Kloosterman sums for prime powers in P-adic fields
On the ternary Goldbach problem with primes in arithmetic progressions having a common modulus
Patterns and periodicity in a family of resultants
On a dynamical Brauer–Manin obstruction

Sommaire du Fascicule no. 2

On the mean square of the divisor function in short intervals
Conjugacy classes of series in positive characteristic and Witt vectors.
Some new directions in p-adic Hodge theory
Integral canonical models of Shimura varieties
M 2 -rank differences for partitions without repeated odd parts
Density of rational points on cyclic covers of ℙ n
Problems in additive number theory, II: Linear forms and complementing sets
Landau’s problems on primes
Autour de la conjecture de Zilber-Pink
On Gelfond’s conjecture about the sum of digits of prime numbers
Diophantine equations after Fermat’s last theorem
Two remarks on the inverse Galois problem for intersective polynomials
Capitulation for even K-groups in the cyclotomic ℤ p -extension.
Permuting the partitions of a prime
Computing fundamental domains for Fuchsian groups
Galois orbits and equidistribution: Manin-Mumford and André-Oort.

Sommaire du Fascicule no. 3

On the counting function for the generalized Niven numbers
Wilson’s theorem
Oscillation of Mertens’ product formula
Lamination et antilamination des réseaux euclidiens
Representation of finite abelian group elements by subsequence sums
Hilbert-Speiser number fields and Stickelberger ideals
A quantitative primitive divisor result for points on elliptic curves
CM liftings of supersingular elliptic curves
Wintenberger’s functor for abelian extensions
Field of moduli versus field of definition for cyclic covers of the projective line
On an arithmetic function considered by Pillai
On the closedness of approximation spectra
Symétries spectrales des fonctions zêtas
Hyperbolic lattice-point counting and modular symbols
Absolute norms of p-primary units
Comportement asympotique des hauteurs des points de Heegner
Markoff numbers and ambiguous classes
The optimality of the Bounded Height Conjecture