Journal de théorie des nombres de Bordeaux, Tome 17 (2005)

Sommaire du Fascicule no. 1

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 $ℙ^{1}$ over $ℚ$ with prescribed local or global behavior by specialization

Bernat Plans ; Núria Vila

p. 271-282
Abstract $β$ -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 $η$ -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

Sommaire du Fascicule no. 2

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 $ℤ_{p}$ -extensions multiples

Thong Nguyen Quang Do ; David Vauclair

p. 669-688
Ramification groups in Artin-Schreier-Witt extensions

Lara Thomas

p. 689-720

Sommaire du Fascicule no. 3

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