Issue no. 1 Table of Contents

Arithmetic Gevrey series and transcendence. A survey

André, Yves

p. 1-10
Galois theory and torsion points on curves

Baker, Matthew H.; Ribet, Kenneth A.

p. 11-32
On sums of three squares

Cogdell, James W.

p. 33-44
Corps de définition et points rationnels

Derome, Geoffroy

p. 45-55
Un théorème de transcendance en caractéristique finie

Dion, Sophie

p. 57-82
Stark's conjecture in multi-quadratic extensions, revisited

Dummit, David S.; Sands, Jonathan W.; Tangedal, Brett

p. 83-97
Points rationnels et méthode de Chabauty elliptique

Duquesne, Sylvain

p. 99-113
On the annihilating ideal for trace forms

Epkenhans, Martin

p. 115-124
On octahedral extensions of ℚ and quadratic ℚ-curves

Fernández, Julio

p. 125-131
On Minkowski units constructed by special values of Siegel modular functions

Fukuda, Takashi; Komatsu, Keiichi

p. 133-140
Representation of prime powers in arithmetical progressions by binary quadratic forms

Halter-Koch, Franz

p. 141-149
The metric simultaneous diophantine approximations over formal power series

Inoue, Kae

p. 151-161
On mean values of some zeta-functions in the critical strip

Ivić, Aleksandar

p. 163-178
The Bloch-Kato conjecture on special values of L-functions. A survey of known results

Kings, Guido

p. 179-198
On the n-torsion subgroup of the Brauer group of a number field

Kisilevsky, Hershy; Sonn, Jack

p. 199-204
Fundamental domains for Shimura curves

Kohel, David R.; Verrill, Helena A.

p. 205-222
A note on circular units in ℤ p -extensions

Kučera, Radan

p. 223-229
Rang de courbes elliptiques avec groupe de torsion non trivial

Lecacheux, Odile

p. 231-247
Conjecture de Littlewood et récurrences linéaires

de Mathan, Bernard

p. 249-266
The analytic continuation and the order estimate of multiple Dirichlet series

Matsumoto, Kohji; Tanigawa, Yoshio

p. 267-274
Familles de fonctions L de formes automorphes et applications

Michel, Philippe

p. 275-307
Logarithmic density of a sequence of integers and density of its ratio set

Mišík, Ladislav; Tóth, János T.

p. 309-318
Points de hauteur bornée, topologie adélique et mesures de Tamagawa

Peyre, Emmanuel

p. 319-349
Séries hypergéométriques et irrationalité des valeurs de la fonction zêta de Riemann

Rivoal, Tanguy

p. 351-365
Modularity of Galois representations

Skinner, Chris

p. 367-381
The correction factor in Artin's primitive root conjecture

Stevenhagen, Peter

p. 383-391
Sur la racine carrée de la codifférente

Vinatier, Stéphane

p. 393-410

Issue no. 2 Table of Contents

ARI/GARI, la dimorphie et l'arithmétique des multizêtas : un premier bilan

Ecalle, Jean

p. 411-478
Groupes de Rhin-Viola et intégrales multiples

Fischler, Stéphane

p. 479-534
Integral identities and constructions of approximations to zeta-values

Nesterenko, Yuri V.

p. 535-550
Indépendance linéaire des valeurs des polylogarithmes

Rivoal, Tanguy

p. 551-559
Birational transformations and values of the Riemann zeta-function

Viola, Carlo

p. 561-592
Well-poised hypergeometric service for diophantine problems of zeta values

Zudilin, Wadim

p. 593-626

Issue no. 3 Table of Contents

Notes on an analogue of the Fontaine-Mazur conjecture

Achter, Jeffrey D.; Holden, Joshua

p. 627-637
A representation theorem for a class of rigid analytic functions

Alexandru, Victor; Popescu, Nicolae; Zaharescu, Alexandru

p. 639-650
Analogues étales de la p-tour des corps de classes

Assim, Jilali

p. 651-663
Approximation simultanée par des nombres algébriques

Bugeaud, Yann

p. 665-672
Computing modular degrees using L-functions

Delaunay, Christophe

p. 673-682
Transcendance des valeurs des fonctions automorphes sur ℌ×ℌ

Derome, Geoffroy

p. 683-696
Combinatorial properties of infinite words associated with cut-and-project sequences

Guimond, Louis-Sébastien; Masáková, Zuzana; Pelantová, Edita

p. 697-725
Trigonometric sums over primes III

Harman, Glyn

p. 727-740
Correction to : “Linear fractional transformations of continued fractions with bounded partial quotients”

Lagarias, Jeffrey C.; Shallit, Jeffrey O.

p. 741-743
Répartition en moyenne de certaines fonctions arithmétiques sur l'ensemble des entiers sans grand facteur premier

Naimi, Mongi

p. 745-766
*-sturmian words and complexity

Nakashima, Izumi; Tamura, Jun-Ichi; Yasutomi, Shin-Ichi

p. 767-804
Sur une condition suffisante pour l’existence de mesures p-adiques admissibles

Panchishkin, Alexei

p. 805-829
No 17-torsion on elliptic curves over cubic number fields

Parent, Pierre

p. 831-838
On the diophantine equation x 2 =y p +2 k z p

Siksek, Samir

p. 839-846
A new exceptional polynomial for the integer transfinite diameter of [0,1]

Wu, Qiang

p. 847-861
The distribution of the values of a rational function modulo a big prime

Zaharescu, Alexandru

p. 863-872