Journal de théorie des nombres de Bordeaux, Volume 23 (2011)

Issue no. 1 Table of Contents

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
[Epstein zeta function and Bloch-Wigner dilogarithm]

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
[The hyperring of adèle classes]

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

K 3

[Elliptic fibrations of a

K 3

surface]

Titem Harrache; Odile Lecacheux

p. 183-207

Smooth solutions to the

a b c

equation: the

x y z

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
[Polynomial bound for the number of rational points on curves]

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

Issue no. 2 Table of Contents

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
[Common factors and torsion in positive characteristic]

Laurent Denis

p. 347-352

Propriétés combinatoires et prolongement analytique effectif de polyzêtas de Hurwitz et de leurs homologues
[Combinatorial properties and effective analytic continuation of Hurwitz polyzetas and their analogous]

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} - n x

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

Issue no. 3 Table of Contents

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
[On the unitary group associated to an involution of an algebraically closed field]

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