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 GL d
Masato Wakayama ; Yoshinori Yamasaki
p. 751-767