Issue no. 1 Table of Contents

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 ℓ
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

Issue no. 2 Table of Contents

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

Issue no. 3 Table of Contents

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 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 ℚ
Filippo Viviani
p. 779-816
Cohen-Lenstra sums over local rings
Christian Wittmann
p. 817-838