Sommaire du Fascicule no. 1

• On the Carlitz problem on the number of solutions to some special equations over finite fields

  Ioulia N. Baoulina

  

  p. 1-20

• Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner

  Marie José Bertin

  

  p. 21-34

• Quantitative versions of the Subspace Theorem and applications

  Yann Bugeaud

  

  p. 35-57

• A valuation criterion for normal basis generators of Hopf-Galois extensions in characteristic $p$

  Nigel P. Byott

  

  p. 59-70

• L’hyperanneau des classes d’adèles

  Alain Connes

  

  p. 71-93

• Differential approach for the study of duals of algebraic-geometric codes on surfaces

  Alain Couvreur

  

  p. 95-120

• $L_2$ discrepancy of generalized Zaremba point sets

  Henri Faure ;  Friedrich Pillichshammer

  

  p. 121-136

• The catenary degree of Krull monoids I

  Alfred Geroldinger ;  David J. Grynkiewicz ;  Wolfgang A. Schmid

  

  p. 137-169

• Remarks on strongly modular Jacobian surfaces

  Xavier Guitart ;  Jordi Quer

  

  p. 171-182

• Étude des fibrations elliptiques d’une surface $K3$

  Titem Harrache ;  Odile Lecacheux

  

  p. 183-207

• Smooth solutions to the $abc$ equation: the $xyz$ Conjecture

  Jeffrey C. Lagarias ;  Kannan Soundararajan

  

  p. 209-234

• Pólya fields, Pólya groups and Pólya extensions: a question of capitulation

  Amandine Leriche

  

  p. 235-249

• Borne polynomiale pour le nombre de points rationnels des courbes

  Gaël Rémond

  

  p. 251-255

• Rational points on curves

  Michael Stoll

  

  p. 257-277

• Explicit Hecke series for symplectic group of genus 4

  Kirill Vankov

  

  p. 279-298

• Mod $p$ structure of alternating and non-alternating multiple harmonic sums

  Jianqiang Zhao

  

  p. 299-308

Sommaire du Fascicule no. 2

• Torsors under tori and Néron models

  Martin Bright

  

  p. 309-321

• The Tate pairing for Abelian varieties over finite fields

  Peter Bruin

  

  p. 323-328

• On the classification of 3-dimensional non-associative division algebras over $p$-adic fields

  Abdulaziz Deajim ;  David Grant

  

  p. 329-346

• Facteurs communs et torsion en caractéristique non nulle

  Laurent Denis

  

  p. 347-352

• Propriétés combinatoires et prolongement analytique effectif de polyzêtas de Hurwitz et de leurs homologues

  Jean-Yves Enjalbert ;  Hoang Ngoc Minh

  

  p. 353-386

• On the number of places of convergence for Newton’s method over number fields

  Xander Faber ;  José Felipe Voloch

  

  p. 387-401

• Generators for the elliptic curve $y^2=x^3-nx$

  Yasutsugu Fujita ;  Nobuhiro Terai

  

  p. 403-416

• Computations with Witt vectors of length $3$

  Luís R. A. Finotti

  

  p. 417-454

• Flows of Mellin transforms with periodic integrator

  Titus Hilberdink

  

  p. 455-469

• More cubic surfaces violating the Hasse principle

  Jörg Jahnel

  

  p. 471-477

• Two exponential diophantine equations

  Dominik J. Leitner

  

  p. 479-487

• Universal covering spaces and fundamental groups in algebraic geometry as schemes

  Ravi Vakil ;  Kirsten Wickelgren

  

  p. 489-526

• Erratum à l’article Nombres de Bell et somme de factorielles

  Daniel Barsky ;  Bénali Benzaghou

  

  p. 527

Sommaire du Fascicule no. 3

• Periodic Jacobi-Perron expansions associated with a unit

  Brigitte Adam ;  Georges Rhin

  

  p. 527-539

• Relaxed algorithms for $p$-adic numbers

  Jérémy Berthomieu ;  Joris van der Hoeven ;  Grégoire Lecerf

  

  p. 541-577

• The divisor problem for binary cubic forms

  Tim Browning

  

  p. 579-602

• Computing the number of certain Galois representations mod $p$

  Tommaso Giorgio Centeleghe

  

  p. 603-627

• Sur le groupe unitaire relatif à une involution d’un corps algébriquement clos

  Bruno Deschamps

  

  p. 629-644

• The Mordell–Lang question for endomorphisms of semiabelian varieties

  Dragos Ghioca ;  Thomas Tucker ;  Michael E. Zieve

  

  p. 645-666

• Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields

  Jordi Guàrdia ;  Jesús Montes ;  Enric Nart

  

  p. 667-696

• An arithmetic function arising from Carmichael’s conjecture

  Florian Luca ;  Paul Pollack

  

  p. 697-714

• On the Olson and the Strong Davenport constants

  Oscar Ordaz ;  Andreas Philipp ;  Irene Santos ;  Wolfgang A. Schmid

  

  p. 715-750

• Higher regularizations of zeros of cuspidal automorphic $L$-functions of ${\mathrm{GL}}_d$

  Masato Wakayama ;  Yoshinori Yamasaki

  

  p. 751-767