Issue no. 1 Table of Contents

• Automates et algébricités

  Jean-Paul Allouche

  

  p. 1-11

• Binary quadratic forms and Eichler orders

  Montserrat Alsina

  

  p. 13-23

• Designs, groups and lattices

  Christine Bachoc

  

  p. 25-44

• On some equations over finite fields

  Ioulia Baoulina

  

  p. 45-50

• A contribution to infinite disjoint covering systems

  János Barát; Péter P. Varjú

  

  p. 51-55

• On equations defining fake elliptic curves

  Pilar Bayer; Jordi Guàrdia

  

  p. 57-67

• Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu)

  Yuri F. Bilu

  

  p. 69-85

• New ramification breaks and additive Galois structure

  Nigel P. Byott; G. Griffith Elder

  

  p. 87-107

• Critical and ramification points of the modular parametrization of an elliptic curve

  Christophe Delaunay

  

  p. 109-124

• The joint distribution of $Q$-additive functions on polynomials over finite fields

  Michael Drmota; Georg Gutenbrunner

  

  p. 125-150

• Character sums and products of factorials modulo $p$

  Moubariz Z. Garaev; Florian Luca

  

  p. 151-160

• On two-parametric family of quartic Thue equations

  Borka Jadrijević

  

  p. 161-167

• Rigid cohomology and $p$-adic point counting

  Alan G.B. Lauder

  

  p. 169-180

• Restricted set addition in Abelian groups: results and conjectures

  Vsevolod F. Lev

  

  p. 181-193

• On the existence of Minkowski units in totally real cyclic fields

  František Marko

  

  p. 195-206

• On a mixed Littlewood conjecture for quadratic numbers

  Bernard de Mathan

  

  p. 207-215

• Systems of quadratic diophantine inequalities

  Wolfgang Müller

  

  p. 217-236

• On a generalization of the Selection Theorem of Mahler

  Gilbert Muraz; Jean-Louis Verger-Gaugry

  

  p. 237-269

• Galois covers of ${\mathbb{P}}^1$ over $\mathbb{Q}$ with prescribed local or global behavior by specialization

  Bernat Plans; Núria Vila

  

  p. 271-282

• Abstract $\beta$-expansions and ultimately periodic representations

  Michel Rigo; Wolfgang Steiner

  

  p. 283-299

• Counting invertible matrices and uniform distribution

  Christian Roettger

  

  p. 301-322

• Differences in sets of lengths of Krull monoids with finite class group

  Wolfgang A. Schmid

  

  p. 323-345

• Complexity of Hartman sequences

  Christian Steineder; Reinhard Winkler

  

  p. 347-357

• Multiplicative Dedekind $\eta$-function and representations of finite groups

  Galina Valentinovna Voskresenskaya

  

  p. 359-380

• Linear independence of values of a certain generalisation of the exponential function – a new proof of a theorem of Carlson

  Rolf Wallisser

  

  p. 381-396

• Interpolation of entire functions on regular sparse sets and $q$-Taylor series

  Michael Welter

  

  p. 397-404

• Stable reduction of three point covers

  Stefan Wewers

  

  p. 405-421

• Diophantine equations with linear recurrences An overview of some recent progress

  Umberto Zannier

  

  p. 423-435

Issue no. 2 Table of Contents

• On the Euclidean minimum of some real number fields

  Eva Bayer-Fluckiger; Gabriele Nebe

  

  p. 437-454

• Sublattices of certain Coxeter lattices

  Anne-Marie Bergé; Jacques Martinet

  

  p. 455-465

• Comparing orders of Selmer groups

  Sébastien Bosca

  

  p. 467-473

• Counting cyclic quartic extensions of a number field

  Henri Cohen; Francisco Diaz y Diaz; Michel Olivier

  

  p. 475-510

• Le théorème de Skolem-Noether pour les modules sur des anneaux principaux

  Anne Cortella; Jean-Pierre Tignol

  

  p. 511-516

• On the Galois group of generalized Laguerre polynomials

  Farshid Hajir

  

  p. 517-525

• Généralisation d’un théorème d’Iwasawa

  Jean-François Jaulent

  

  p. 527-553

• Kronecker-Weber via Stickelberger

  Franz Lemmermeyer

  

  p. 555-558

• On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes

  Stéphane Louboutin

  

  p. 559-573

• Sur la dimension cohomologique des pro-$p$-extensions des corps de nombres

  Christian Maire

  

  p. 575-606

• Obstructions aux déformations de représentations galoisiennes réductibles et groupes de classes

  Ariane Mézard

  

  p. 607-618

• Sur le $2$-groupe de classes des corps multiquadratiques réels

  Ali Mouhib; Abbas Movahhedi

  

  p. 619-641

• Conjecture principale équivariante, idéaux de Fitting et annulateurs en théorie d’Iwasawa

  Thong Nguyen Quang Do

  

  p. 643-668

• $K_2$ et conjecture de Greenberg dans les ${\mathbb{Z}}_p$-extensions multiples

  Thong Nguyen Quang Do; David Vauclair

  

  p. 669-688

• Ramification groups in Artin-Schreier-Witt extensions

  Lara Thomas

  

  p. 689-720

Issue no. 3 Table of Contents

• Sharper ABC-based bounds for congruent polynomials

  Daniel J. Bernstein

  

  p. 721-725

• Division-ample sets and the Diophantine problem for rings of integers

  Gunther Cornelissen; Thanases Pheidas; Karim Zahidi

  

  p. 727-735

• On the length of the continued fraction for values of quotients of power sums

  Pietro Corvaja; Umberto Zannier

  

  p. 737-748

• Effective bounds for the zeros of linear recurrences in function fields

  Clemens Fuchs; Attila Pethő

  

  p. 749-766

• Sur les corps de Hilbert-Speiser

  Thomas Herreng

  

  p. 767-778

• On the ring of $p$-integers of a cyclic $p$-extension over a number field

  Humio Ichimura

  

  p. 779-786

• The $p$-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large

  Remke Kloosterman

  

  p. 787-800

• On coefficient valuations of Eisenstein polynomials

  Matthias Künzer; Eduard Wirsing

  

  p. 801-823

• On linear normal lattices configurations

  Mordechay B. Levin; Meir Smorodinsky

  

  p. 825-858

• On the largest prime factor of $n!+2^n-1$

  Florian Luca; Igor E. Shparlinski

  

  p. 859-870

• Géométrie réelle des dessins d’enfant : une étude des composantes irréductibles

  Layla Pharamond dit d’Costa

  

  p. 871-904

• On the computation of Hermite-Humbert constants for real quadratic number fields

  Michael E. Pohst; Marcus Wagner

  

  p. 905-920

• On sum-sets and product-sets of complex numbers

  József Solymosi

  

  p. 921-924

• On the exceptional set of Lagrange’s equation with three prime and one almost–prime variables

  Doychin Tolev

  

  p. 925-948

• The cubics which are differences of two conjugates of an algebraic integer

  Toufik Zaimi

  

  p. 949-953