Sommaire du Fascicule no. 1

Signes locaux et nombres de Tamagawa
Thomas de La Rochefoucauld
p. 1-38
Binomial Character Sums Modulo Prime Powers
Vincent Pigno ; Christopher Pinner
p. 39-53
Explicit primality criteria for h·2 n ±1
Yingpu Deng ; Dandan Huang
p. 55-74
The Jacobi form D L , theta functions, and Eisenstein series
Abdelmejid Bayad ; Gilles Robert
p. 75-88
Unit L-Functions for étale sheaves of modules over noncommutative rings
Malte Witte
p. 89-113
Edwards Curves and Gaussian Hypergeometric Series
Mohammad Sadek ; Nermine El-Sissi
p. 115-124
Deformation of torsors under monogenic group schemes
Fabrizio Andreatta ; Carlo Gasbarri
p. 125-143
Controlling Selmer groups in the higher core rank case
Barry Mazur ; Karl Rubin
p. 145-183
Refined class number formulas for 𝔾 m
Barry Mazur ; Karl Rubin
p. 185-211
Fields on the Bottom
Moshe Jarden ; Carlos Videla
p. 213-219
Unobstructed Hilbert modular deformation problems
Adam Gamzon
p. 221-236
Lower Bounds on the Dimension of the Cohomology of Bianchi Groups via Sczech Cocyles
Mehmet Haluk Şengün ; Seyfi Türkelli
p. 237-260
Continuity of the Hausdorff Measure of Continued Fractions and Countable Alphabet Iterated Function Systems
Mariusz Urbański ; Anna Zdunik
p. 261-286
Corrigendum to “Complete Solutions of a Family of Cubic Thue Equations” [Journal de Théorie des Nombres de Bordeaux 18 (2006), 285-298]
Alain Togbé
p. 287-288

Sommaire du Fascicule no. 2

Tauberian Oscillation Theorems and the Distribution of Goldbach numbers
Gautami Bhowmik ; Olivier Ramaré ; Jan-Christoph Schlage-Puchta
p. 291-299
The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic
Andrew Bridy
p. 301-324
Normal integral basis of an unramified quadratic extension over a cyclotomic ℤ 2 -extension
Humio Ichimura ; Hiroki Sumida-Takahashi
p. 325-345
Galois action on special theta values
Paloma Bengoechea
p. 347-360
Quelques calculs d’espaces ℝ i f * G sur des courbes
Sylvain Maugeais
p. 361-390
On the law of the iterated logarithm for trigonometric series with bounded gaps II
Christoph Aistleitner ; Katusi Fukuyama
p. 391-416
A characterization of strictly APF extensions
Bryden Cais ; Christopher Davis ; Jonathan Lubin
p. 417-430
On the determination of number fields by L-functions
Florin Nicolae
p. 431-433
Lightly ramified number fields with Galois group S.M 12 .A
David P. Roberts
p. 435-460
Liminf Sets in Simultaneous Diophantine Approximation
Faustin Adiceam
p. 461-483
Equivariant epsilon conjecture for 1-dimensional Lubin-Tate groups
Dmitriy Izychev ; Otmar Venjakob
p. 485-521
On Waring–Goldbach problem of mixed powers
Xiaodong Lü ; Quanwu Mu
p. 523-538
On π-exponentials II: Closed formula for the index
Rodolphe Richard
p. 539-556
Hopf-Galois module structure of tame C p ×C p extensions
Paul J. Truman
p. 557-582

Sommaire du Fascicule no. 3

Sur une question de N. Chevallier liée à l’approximation diophantienne simultanée
Nikolay Moshchevitin
p. 583-595
Mahler bases and elementary p-adic analysis
Ehud de Shalit
p. 597-620
Level raising for p-adic Hilbert modular forms
James Newton
p. 621-653
Iwasawa theory for symmetric powers of CM modular forms at nonordinary primes, II
Robert Harron ; Jonathan Pottharst
p. 655-677
Spinor class fields for generalized Eichler orders
Luis Arenas-Carmona
p. 679-698
Squarefree parts of polynomial values
David Krumm
p. 699-724
Quelques remarques à propos d’un théorème de Checcoli
Hugues Bauchère
p. 725-734
A Note on Extensions of ℚ tr
Lukas Pottmeyer
p. 735-742
On the equivalence of types
Enric Nart
p. 743-771
On the ramification of modular parametrizations at the cusps
François Brunault
p. 773-790
Waring-Goldbach problem: two squares and higher powers
Yingchun Cai
p. 791-810
Height and Weber’s Class Number Problem
Takayuki Morisawa ; Ryotaro Okazaki
p. 811-828
Homology of depth-graded motivic Lie algebras and koszulity
Benjamin Enriquez ; Pierre Lochak
p. 829-850