Sommaire du Fascicule no. 1

Répartition galoisienne ultramétrique d’une classe d’isogénie de courbes elliptiques : Le cas de la mauvaise réduction. Application aux hauteurs locales.
Ramified extensions of degree p and their Hopf–Galois module structure
Heights and representations of split tori
A Local-Global Criteria of Affine Varieties Admitting Points in Rank-One Subgroups of a Global Function Field
Rational torsion in elliptic curves and the cuspidal subgroup
The large sieve with square norm moduli in ℤ[i]
Counting points on the Fricke–Macbeath curve over finite fields
Lower bounds for generalized unit regulators
Some manifolds of Khinchin type for convergence
Note on the Stern-Brocot sequence, some relatives, and their generating power series
On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application
Products of primes in arithmetic progressions: a footnote in parity breaking
On the k-regularity of the k-adic valuation of Lucas sequences
Traces des opérateurs de Hecke sur les espaces de formes automorphes de SO7, SO8 ou SO9 en niveau 1 et poids arbitraire
On the order modulo p of an algebraic number
Igusa’s Local Zeta Functions and Exponential Sums for Arithmetically Non Degenerate Polynomials

Sommaire du Fascicule no. 2

On canonical subgroups of Hilbert–Blumenthal abelian varieties
An infinitesimal p-adic multiplicative Manin–Mumford Conjecture
The Belyi Characterization of a Class of Modular Curves
Extensions of local fields and elementary symmetric polynomials
Waring–Goldbach Problem with Piatetski-Shapiro Primes
M(x)=o(x) Estimates for Beurling numbers
An exponential sum estimate for systems with linear polynomials
Class field theory for open curves over local fields
Campana points, Vojta’s conjecture, and level structures on semistable abelian varieties
Some remarks on pseudo-null submodules of tamely ramified Iwasawa modules
Méthode de Mahler, transcendance et relations linéaires : aspects effectifs
Les variétés de Hecke–Hilbert aux points classiques de poids parallèle 1
Short intervals asymptotic formulae for binary problems with prime powers
Pseudorandomness of the Ostrowski sum-of-digits function
Représentations galoisiennes diédrales et formes à multiplication complexe
Transcendence of the Hodge–Tate filtration
Perturbing Eisenstein polynomials over local fields
Deformation rings and parabolic induction

Sommaire du Fascicule no. 3

Modularity of elliptic curves over abelian totally real fields unramified at 3, 5, and 7
Ax–Lindemann and André–Oort for a Nonholomorphic Modular Function
The pro-l outer Galois actions associated to modular curves of prime power level
Some minimisation algorithms in arithmetic invariant theory
Newton–Okounkov bodies: an approach of function field arithmetic
One-class genera of exceptional groups over number fields
Tamely ramified Iwasawa modules having no non-trivial pseudo-null submodules
Construction de nombres extrémaux pour le problème de l’approximation simultanée d’un nombre et de son carré
A note on the regularity of the Diophantine pair {k,4k±4}
On the class numbers of the fields of the p n -torsion points of elliptic curves over ℚ
On the number of perfect lattices
The Hasse Norm Principle For Biquadratic Extensions
A variational open image theorem in positive characteristic
Sub-Shimura Varieties for type O(2,n)
Cubic polynomials defining monogenic fields with the same discriminant
Odd order cases of the logarithmically averaged Chowla conjecture
Finite Λ-submodules of Iwasawa modules for a CM-field for p=2
On the genera of semisimple groups defined over an integral domain of a global function field
Explicit L-functions and a Brauer–Siegel theorem for Hessian elliptic curves