Sommaire du Fascicule no. 1

Signes locaux et nombres de Tamagawa
Binomial Character Sums Modulo Prime Powers
Explicit primality criteria for h·2 n ±1
The Jacobi form D L , theta functions, and Eisenstein series
Unit L-Functions for étale sheaves of modules over noncommutative rings
Edwards Curves and Gaussian Hypergeometric Series
Deformation of torsors under monogenic group schemes
Controlling Selmer groups in the higher core rank case
Refined class number formulas for 𝔾 m
Fields on the Bottom
Unobstructed Hilbert modular deformation problems
Lower Bounds on the Dimension of the Cohomology of Bianchi Groups via Sczech Cocyles
Continuity of the Hausdorff Measure of Continued Fractions and Countable Alphabet Iterated Function Systems
Corrigendum to “Complete Solutions of a Family of Cubic Thue Equations” [Journal de Théorie des Nombres de Bordeaux 18 (2006), 285-298]

Sommaire du Fascicule no. 2

Tauberian Oscillation Theorems and the Distribution of Goldbach numbers
The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic
Normal integral basis of an unramified quadratic extension over a cyclotomic ℤ 2 -extension
Galois action on special theta values
Quelques calculs d’espaces ℝ i f * G sur des courbes
On the law of the iterated logarithm for trigonometric series with bounded gaps II
A characterization of strictly APF extensions
On the determination of number fields by L-functions
Lightly ramified number fields with Galois group S.M 12 .A
Liminf Sets in Simultaneous Diophantine Approximation
Equivariant epsilon conjecture for 1-dimensional Lubin-Tate groups
On Waring–Goldbach problem of mixed powers
On π-exponentials II: Closed formula for the index
Hopf-Galois module structure of tame C p ×C p extensions

Sommaire du Fascicule no. 3

Sur une question de N. Chevallier liée à l’approximation diophantienne simultanée
Mahler bases and elementary p-adic analysis
Level raising for p-adic Hilbert modular forms
Iwasawa theory for symmetric powers of CM modular forms at nonordinary primes, II
Spinor class fields for generalized Eichler orders
Squarefree parts of polynomial values
Quelques remarques à propos d’un théorème de Checcoli
A Note on Extensions of ℚ tr
On the equivalence of types
On the ramification of modular parametrizations at the cusps
Waring-Goldbach problem: two squares and higher powers
Height and Weber’s Class Number Problem
Homology of depth-graded motivic Lie algebras and koszulity