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 ℤ 2 -extension of an imaginary quadratic field
Yasushi Mizusawa
p. 115-138
Elliptic curves with ℚ(ℰ[3])=ℚ(ζ 3 ) 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 ξ-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 ℤ 2 -extension of 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