Issue no. 1 Table of Contents

• Modified proof of a local analogue of the Grothendieck conjecture

  Victor Abrashkin

  

  p. 1-50

• On the parity of generalized partition functions, III

  Fethi Ben Saïd; Jean-Louis Nicolas; Ahlem Zekraoui

  

  p. 51-78

• Poids de l’inertie modérée de certaines représentations cristallines

  Xavier Caruso; David Savitt

  

  p. 79-96

• Ternary quadratic forms with rational zeros

  John Friedlander; Henryk Iwaniec

  

  p. 97-113

• On the maximal unramified pro-2-extension over the cyclotomic ${\mathbb{Z}}_2$-extension of an imaginary quadratic field

  Yasushi Mizusawa

  

  p. 115-138

• Elliptic curves with $\mathbb{Q}\left(ℰ\left[3\right]\right)=\mathbb{Q}\left({\zeta }_3\right)$ and counterexamples to local-global divisibility by 9

  Laura Paladino

  

  p. 139-160

• Remarques sur une conjecture de Lang

  Fabien Pazuki

  

  p. 161-179

• Eigenvalues in the large sieve inequality, II

  Olivier Ramaré

  

  p. 181-196

• The integral logarithm in Iwasawa theory : an exercise

  Jürgen Ritter; Alfred Weiss

  

  p. 197-207

• A note on the Hermite–Rankin constant

  Kazuomi Sawatani; Takao Watanabe; Kenji Okuda

  

  p. 209-217

• Degeneration of the Kummer sequence in characteristic $p>0$

  Yuji Tsuno

  

  p. 219-257

• Explicit construction of integral bases of radical function fields

  Qingquan Wu

  

  p. 259-270

Issue no. 2 Table of Contents

• Fonctions à valeurs entières et module de Carlitz

  David Adam

  

  p. 271-286

• Gaps between zeros of the derivative of the Riemann $\xi$-function

  Hung Manh Bui

  

  p. 287-305

• Propriétés et limites de la reconnaissance d’ensembles d’entiers par automates dénombrables

  Julien Cassaigne; Marion Le Gonidec

  

  p. 307-338

• (Non)Automaticity of number theoretic functions

  Michael Coons

  

  p. 339-352

• On a theorem of Mestre and Schoof

  John E. Cremona; Andrew V. Sutherland

  

  p. 353-358

• Weber’s class number problem in the cyclotomic ${\mathbb{Z}}_2$-extension of $\mathbb{Q}$, II

  Takashi Fukuda; Keiichi Komatsu

  

  p. 359-368

• Heights of roots of polynomials with odd coefficients

  J. Garza; M. I. M. Ishak; M. J. Mossinghoff; C. G. Pinner; B. Wiles

  

  p. 369-381

• Linear forms of a given Diophantine type

  Oleg N. German; Nikolay G. Moshchevitin

  

  p. 383-396

• Stickelberger’s congruences for absolute norms of relative discriminants

  Georges Gras

  

  p. 397-402

• The circle method and pairs of quadratic forms

  Henryk Iwaniec; Ritabrata Munshi

  

  p. 403-419

• Finite and periodic orbits of shift radix systems

  Peter Kirschenhofer; Attila Pethő; Paul Surer; Jörg Thuswaldner

  

  p. 421-448

• On subsequences of convergents to a quadratic irrational given by some numerical schemes

  Benoît Rittaud

  

  p. 449-474

• A note on the ramification of torsion points lying on curves of genus at least two

  Damian Rössler

  

  p. 475-481

• The local Jacquet-Langlands correspondence via Fourier analysis

  Jared Weinstein

  

  p. 483-512

• Commentaires sur quelques résultats sur les nombres de Pisot

  Toufik Zaimi

  

  p. 513-524

Issue no. 3 Table of Contents

• Small-sum pairs in abelian groups

  Reza Akhtar; Paul Larson

  

  p. 525-535

• Comparison between the fundamental group scheme of a relative scheme and that of its generic fiber

  Marco Antei

  

  p. 537-555

• Représentations potentiellement triangulines de dimension $2$

  Laurent Berger; Gaëtan Chenevier

  

  p. 557-574

• Fractions de Bernoulli-Carlitz et opérateurs $q$-Zeta

  Frédéric Chapoton

  

  p. 575-581

• The period-index problem in WC-groups IV: a local transition theorem

  Pete L. Clark

  

  p. 583-606

• Steinitz classes of some abelian and nonabelian extensions of even degree

  Alessandro Cobbe

  

  p. 607-628

• Sur le développement en fraction continue d’une généralisation de la cubique de Baum et Sweet

  Alina Firicel

  

  p. 629-644

• Power values of certain quadratic polynomials

  Anthony Flatters

  

  p. 645-660

• A propos de la relation galoisienne $x_1=x_2+x_3$

  Franck Lalande

  

  p. 661-673

• Manin’s conjecture for a singular sextic del Pezzo surface

  Daniel Loughran

  

  p. 675-701

• Perfect powers in the summatory function of the power tower

  Florian Luca; Diego Marques

  

  p. 703-718

• Cohomologial dimension of Laumon 1-motives up to isogenies

  Nicola Mazzari

  

  p. 719-726

• A generalization of Voronoï’s Theorem to algebraic lattices

  Kenji Okuda; Syouji Yano

  

  p. 727-740

• A family of varieties with exactly one pointless rational fiber

  Bianca Viray

  

  p. 741-745

• Small generators of function fields

  Martin Widmer

  

  p. 747-753

• The fluctuations in the number of points on a family of curves over a finite field

  Maosheng Xiong

  

  p. 755-769

• Asymptotic properties of Dedekind zeta functions in families of number fields

  Alexey Zykin

  

  p. 771-778