Sommaire du Fascicule no. 1

Energy Minimization Principle for non-archimedean curves
Veronika Wanner
p. 1-39
On a probabilistic local-global principle for torsion on elliptic curves
John Cullinan ; Meagan Kenney ; John Voight
p. 41-90
Explicit L 2 bounds for the Riemann ζ function
Daniele Dona ; Harald A. Helfgott ; Sebastian Zuniga Alterman
p. 91-133
Relative class numbers of subfields of the p-th cyclotomic field
Takashi Fukuda
p. 135-140
Integral points on affine quadric surfaces
Tim Santens
p. 141-161
On a bounded remainder set for a digital Kronecker sequence
Mordechay B. Levin
p. 163-187
Effect of increasing the ramification on pseudo-deformation rings
Shaunak V. Deo
p. 189-236
Bad places for the approximation property for finite groups
Felipe Rivera-Mesas
p. 237-249
Local Oort groups and the isolated differential data criterion
Huy Dang ; Soumyadip Das ; Kostas Karagiannis ; Andrew Obus ; Vaidehee Thatte
p. 251-269
Growth of points on hyperelliptic curves over number fields
Christopher Keyes
p. 271-294
Oscillations in the Goldbach conjecture
Michael J. Mossinghoff ; Timothy S. Trudgian
p. 295-307
On abelian points of varieties intersecting subgroups in a torus
Jorge Mello
p. 309-322

Sommaire du Fascicule no. 2

On the equality of periods of Kontsevich–Zagier
Jacky Cresson ; Juan Viu-Sos
p. 323-343
Local constancy for reductions of two-dimensional crystalline representations
Emiliano Torti
p. 345-370
Enumerating D 4 quartics and a Galois group bias over function fields
Daniel Keliher
p. 371-391
Moduli Spaces of Shtukas over the Projective Line
María Inés de Frutos-Fernández
p. 393-418
Transformée de Fourier–Mukai sur les schémas formels
Florian Viguier
p. 419-447
The level of distribution of the sum-of-digits function of linear recurrence number systems
Manfred G. Madritsch ; Jörg M. Thuswaldner
p. 449-482
The Fibonacci sequence and an elliptic curve
Sungkon Chang
p. 483-495
On the p-torsion of the Tate–Shafarevich group of abelian varieties over higher dimensional bases over finite fields
Timo Keller
p. 497-513
Remarks on a paper of J. Barát and P.P. Varjú
Béla Bollobás
p. 515-516
Idéaux premiers totalement décomposés et sommes de Newton
Dominique Bernardi ; Alain Kraus
p. 517-536
Fields of definition of abelian subvarieties
Séverin Philip
p. 537-547
A note on finite embedding problems with nilpotent kernel
Arno Fehm ; François Legrand
p. 549-562
A short note on higher Mordell integrals
Joshua Males
p. 563-573
Root number of the Jacobian of y 2 =x p +a
Matthew Bisatt
p. 575-582
On pseudo-null Iwasawa modules
Sören Kleine
p. 583-618
The natural extension of the Gauss map and the Hermite best approximations
Nicolas Chevallier
p. 619-636

Sommaire du Fascicule no. 3

On Dirichlet biquadratic fields
Étienne Fouvry ; Peter Koymans
p. 637-646
On genera containing non-split Eichler orders over function fields
Luis Arenas-Carmona ; Claudio Bravo
p. 647-677
Effective equidistribution of lattice points in positive characteristic
Tal Horesh ; Frédéric Paulin
p. 679-703
On a family of unit equations over simplest cubic fields
Ingrid Vukusic ; Volker Ziegler
p. 705-718
An a priori bound for rational functions on the Berkovich projective line
Yûsuke Okuyama
p. 719-738
The Manin–Drinfeld theorem and the rationality of Rademacher symbols
Claire Burrin
p. 739-753
Linear Relations of Siegel Poincaré Series and Non-vanishing of the Central Values of Spinor L-functions
Zhining Wei
p. 755-766
Polynomial approximations in a generalized Nyman–Beurling criterion
François Alouges ; Sébastien Darses ; Erwan Hillion
p. 767-785
Factoring Gleason polynomials modulo 2
Xavier Buff ; William Floyd ; Sarah Koch ; Walter Parry
p. 787-812
A note on Quebbemann’s extremal lattices of rank 64
Ichiro Shimada
p. 813-826
Upper bounds and spectrum for approximation exponents for subspaces of ℝ n
Elio Joseph
p. 827-850
Control Theorems for Fine Selmer Groups
Debanjana Kundu ; Meng Fai Lim
p. 851-880
On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple ℤ p -Extensions Over Imaginary Quadratic Fields
Takashi Miura ; Kazuaki Murakami ; Keiji Okano ; Rei Otsuki
p. 881-902
Local distinction, quadratic base change and automorphic induction for GL n
Nadir Matringe
p. 903-916
Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers
Beáta Bényi ; Toshiki Matsusaka
p. 917-939
On the Decomposition of Hecke Polynomials over Parabolic Hecke Algebras
Claudius Heyer
p. 941-997