Sommaire du Fascicule no. 1

• Sign changes of error terms related to arithmetical functions

  Paulo J. Almeida

  

  p. 1-25

• Small points on a multiplicative group and class number problem

  Francesco Amoroso

  

  p. 27-39

• Counting monic irreducible polynomials $P$ in ${𝔽}_q\left[X\right]$ for which order of $X(modP)$ is odd

  Christian Ballot

  

  p. 41-58

• Galois groups of tamely ramified $p$-extensions

  Nigel Boston

  

  p. 59-70

• Quand seule la sous-somme vide est nulle modulo $p$

  Jean-Marc Deshouillers

  

  p. 71-79

• Elliptic curves associated with simplest quartic fields

  Sylvain Duquesne

  

  p. 81-100

• On wild ramification in quaternion extensions

  G. Griffith Elder ;  Jeffrey J. Hooper

  

  p. 101-124

• Van der Corput sequences towards general (0,1)–sequences in base b

  Henri Faure

  

  p. 125-140

• On elliptic Galois representations and genus-zero modular units

  Julio Fernández ;  Joan-C. Lario

  

  p. 141-164

• Odd perfect polynomials over ${𝔽}_2$

  Luis H. Gallardo ;  Olivier Rahavandrainy

  

  p. 165-174

• Klein polyhedra and lattices with positive norm minima

  Oleg N. German

  

  p. 175-190

• Weighted uniform densities

  Rita Giuliano Antonini ;  Georges Grekos

  

  p. 191-204

• On $p$-adic zeros of systems of diagonal forms restricted by a congruence condition

  Hemar Godhino ;  Paulo H. A. Rodrigues

  

  p. 205-219

• Sieve methods for varieties over finite fields and arithmetic schemes

  Bjorn Poonen

  

  p. 221-229

• Problème de Lehmer sur ${𝔾}_m$ et méthode des pentes

  Nicolas Ratazzi

  

  p. 231-248

• Non-degenerate Hilbert cubes in random sets

  Csaba Sándor

  

  p. 249-261

• Rational approximations to $\sqrt[3]{2}$ and other algebraic numbers revisited

  Paul M. Voutier

  

  p. 263-288

• Thomas’ conjecture over function fields

  Volker Ziegler

  

  p. 289-309

• A new lower bound for ${\parallel (3/2)}^k\parallel$

  Wadim Zudilin

  

  p. 311-323

Sommaire du Fascicule no. 2

• Dynamique des polynômes quadratiques sur les corps locaux

  Robert Benedetto ;  Jean-Yves Briend ;  Hervé Perdry

  

  p. 325-336

• A classification of the extensions of degree $p^2$ over ${\mathbb{Q}}_p$ whose normal closure is a $p$-extension

  Luca Caputo

  

  p. 337-355

• On Robin’s criterion for the Riemann hypothesis

  YoungJu Choie ;  Nicolas Lichiardopol ;  Pieter Moree ;  Patrick Solé

  

  p. 357-372

• Produits et quotients de combinaisons linéaires de logarithmes de nombres algébriques : conjectures et résultats partiels

  Guy Diaz

  

  p. 373-391

• Approximation of values of hypergeometric functions by restricted rationals

  Carsten Elsner ;  Takao Komatsu ;  Iekata Shiokawa

  

  p. 393-404

• Characteristic vectors of unimodular lattices which represent two

  Mark Gaulter

  

  p. 405-414

• Invariants de classes : propriétés fonctorielles et applications à l’étude du noyau

  Jean Gillibert

  

  p. 415-432

• Power-free values, large deviations, and integer points on irrational curves

  Harald A. Helfgott

  

  p. 433-472

• La relation linéaire $a=b+c+\cdots +t$ entre les racines d’un polynôme

  Franck Lalande

  

  p. 473-484

• Ideal class groups, Hilbert’s irreducibility theorem, and integral points of bounded degree on curves

  Aaron Levin

  

  p. 485-499

• Dyadic diaphony of digital sequences

  Friedrich Pillichshammer

  

  p. 501-521

• Substitutions on two letters, cutting segments and their projections

  Sierk W. Rosema

  

  p. 523-545

• Diophantine inequalities with power sums

  Amedeo Scremin

  

  p. 547-560

Sommaire du Fascicule no. 3

• Two divisors of $(n^2+1)/2$ summing up to $n+1$

  Mohamed Ayad ;  Florian Luca

  

  p. 561-566

• Characterizations of groups generated by Kronecker sets

  András Biró

  

  p. 567-582

• A generalization of Scholz’s reciprocity law

  Mark Budden ;  Jeremiah Eisenmenger ;  Jonathan Kish

  

  p. 583-594

• Analytic and combinatoric aspects of Hurwitz polyzêtas

  Jean-Yves Enjalbert ;  Hoang Ngoc Minh

  

  p. 595-640

• Tong’s spectrum for Rosen continued fractions

  Cornelis Kraaikamp ;  Thomas A. Schmidt ;  Ionica Smeets

  

  p. 641-661

• Computing the cardinality of CM elliptic curves using torsion points

  François Morain

  

  p. 663-681

• S-extremal strongly modular lattices

  Gabriele Nebe ;  Kristina Schindelar

  

  p. 683-701

• Special values of symmetric power $L$-functions and Hecke eigenvalues

  Emmanuel Royer ;  Jie Wu

  

  p. 703-753

• Sequences of algebraic integers and density modulo $1$

  Roman Urban

  

  p. 755-762

• Local ${\epsilon }_0$-characters in torsion rings

  Seidai Yasuda

  

  p. 763-797

• Sur le groupe des unités de corps de nombres de degré $2$ et $4$

  M’hammed Ziane

  

  p. 799-808