Issue no. 1 Table of Contents

• 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 $h·2^n\pm 1$

  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

Issue no. 2 Table of Contents

• 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 ${\mathbb{Z}}_2$-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 $\pi$-exponentials II: Closed formula for the index

  Rodolphe Richard

  

  p. 539-556

• Hopf-Galois module structure of tame $C_p\times C_p$ extensions

  Paul J. Truman

  

  p. 557-582

Issue no. 3 Table of Contents

• 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
  [Some remarks about a theorem of Checcoli]

  Hugues Bauchère

  

  p. 725-734

• A Note on Extensions of ${\mathbb{Q}}^{tr}$

  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