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 $\zeta$ 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 ${\mathbb{Z}}_p$-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 ${\mathrm{GL}}_n$

  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