Sommaire du Fascicule no. 1

• Nombres de Bell et somme de factorielles

  Daniel Barsky ;  Bénali Benzaghou

  

  p. 1-17

• Topics in computational algebraic number theory

  Karim Belabas

  

  p. 19-63

• Two complete and minimal systems associated with the zeros of the Riemann zeta function

  Jean-François Burnol

  

  p. 65-94

• Relations between jacobians of modular curves of level $p^2$

  Imin Chen ;  Bart De Smit ;  Martin Grabitz

  

  p. 95-106

• Average order in cyclic groups

  Joachim von zur Gathen ;  Arnold Knopfmacher ;  Florian Luca ;  Lutz G. Lucht ;  Igor E. Shparlinski

  

  p. 107-123

• Geometric study of the beta-integers for a Perron number and mathematical quasicrystals

  Jean-Pierre Gazeau ;  Jean-Louis Verger-Gaugry

  

  p. 125-149

• Languages under substitutions and balanced words

  Alex Heinis

  

  p. 151-172

• Abelian varieties over finite fields with a specified characteristic polynomial modulo $\ell$

  Joshua Holden

  

  p. 173-178

• Modularity of $p$-adic Galois representations via $p$-adic approximations

  Chandrashekhar Khare

  

  p. 179-185

• Strongly modular lattices with long shadow

  Gabriele Nebe

  

  p. 187-196

• The distribution of powers of integers in algebraic number fields

  Werner Georg Nowak ;  Johannes Schoißengeier

  

  p. 197-214

• Normal integral bases for Emma Lehmer’s parametric family of cyclic quintics

  Blair K. Spearman ;  Kenneth S. Williams

  

  p. 215-220

• Extremal values of Dirichlet $L$-functions in the half-plane of absolute convergence

  Jörn Steuding

  

  p. 221-232

• On some subgroups of the multiplicative group of finite rings

  José Felipe Voloch

  

  p. 233-239

• On an approximation property of Pisot numbers II

  Toufik Zaïmi

  

  p. 239-249

• Arithmetic of linear forms involving odd zeta values

  Wadim Zudilin

  

  p. 251-291

Sommaire du Fascicule no. 2

• Towards explicit description of ramification filtration in the 2-dimensional case

  Victor Abrashkin

  

  p. 293-333

• Comparison theorems between algebraic and analytic De Rham cohomology (with emphasis on the $p$-adic case)

  Yves André

  

  p. 335-355

• Homology for irregular connections

  Spencer Bloch ;  Hélène Esnault

  

  p. 357-371

• A monogenic Hasse-Arf theorem

  James Borger

  

  p. 373-375

• On the structure of Milnor $K$-groups of certain complete discrete valuation fields

  Masato Kurihara

  

  p. 377-401

• Parity in Bloch’s conductor formula in even dimension

  Takeshi Saito

  

  p. 403-421

• An Arakelov theoretic proof of the equality of conductor and discriminant

  Sinan Ünver

  

  p. 423-427

• Automorphismes des corps locaux de caractéristique $p$.

  Jean-Pierre Wintenberger

  

  p. 429-456

Sommaire du Fascicule no. 3

• On Tate’s refinement for a conjecture of Gross and its generalization

  Noboru Aoki

  

  p. 457-486

• On the binary expansions of algebraic numbers

  David H. Bailey ;  Jonathan M. Borwein ;  Richard E. Crandall ;  Carl Pomerance

  

  p. 487-518

• Algebraic independence over ${\mathbb{Q}}_p$

  Peter Bundschuh ;  Kumiko Nishioka

  

  p. 519-533

• Utilisation de la conjugaison complexe dans l’étude de la transcendance de valeurs de la fonction exponentielle usuelle

  Guy Diaz

  

  p. 535-553

• Constructing elliptic curves over finite fields using double eta-quotients

  Andreas Enge ;  Reinhard Schertz

  

  p. 555-568

• Fundamental units in a family of cubic fields

  Veikko Ennola

  

  p. 569-575

• The cuspidal torsion packet on hyperelliptic Fermat quotients

  David Grant ;  Delphy Shaulis

  

  p. 577-585

• Character sums in complex half-planes

  Sergei V. Konyagin ;  Vsevolod F. Lev

  

  p. 587-606

• Partitions sans petites parts

  Elie Mosaki ;  Jean-Louis Nicolas ;  András Sárkőzy

  

  p. 607-638

• Géométrie réelle des dessins d’enfant

  Layla Pharamond dit d’Costa

  

  p. 639-691

• Les carrés dans des généralisations des suites de Lucas

  Pierre Samuel

  

  p. 693-703

• S-expansions in dimension two

  Bernhard Schratzberger

  

  p. 705-732

• On ideals free of large prime factors

  Eira J. Scourfield

  

  p. 733-772

• The Brauer–Manin obstruction for curves having split Jacobians

  Samir Siksek

  

  p. 773-777

• Ramification groups and Artin conductors of radical extensions of $\mathbb{Q}$

  Filippo Viviani

  

  p. 779-816

• Cohen-Lenstra sums over local rings

  Christian Wittmann

  

  p. 817-838