Sommaire du Fascicule no. 1

Équidistribution des sous-variétés de petite hauteur
Pascal Autissier
p. 1-12
Some remarks on almost rational torsion points
John Boxall ; David Grant
p. 13-28
On elementary equivalence, isomorphism and isogeny
Pete L. Clark
p. 29-58
A system of simultaneous congruences arising from trinomial exponential sums
Todd Cochrane ; Jeremy Coffelt ; Christopher Pinner
p. 59-72
On the number of prime factors of summands of partitions
Cécile Dartyge ; András Sárközy ; Mihály Szalay
p. 73-87
Construction de formes automorphes réflectives sur un espace de dimension 4
Caroline Desreumaux
p. 89-111
Special values of multiple gamma functions
William Duke ; Özlem Imamoḡlu
p. 113-123
Explicit lower bounds for linear forms in two logarithms
Nicolas Gouillon
p. 125-146
Restriction theory of the Selberg sieve, with applications
Ben Green ; Terence Tao
p. 147-182
Gross’ conjecture for extensions ramified over four points of ℙ 1
Po-Yi Huang
p. 183-201
On some remarkable properties of the two-dimensional Hammersley point set in base 2
Peter Kritzer
p. 203-221
An arithmetic formula of Liouville
Erin McAfee ; Kenneth S. Williams
p. 223-239
La structure différentielle de l’anneau des formes quasi-modulaires pour SL 2 (Z)
Federico Pellarin
p. 241-264
Sur la paramétrisation des solutions des équations quadratiques
Denis Simon
p. 265-283
Complete solutions of a family of cubic Thue equations
Alain Togbé
p. 285-298

Sommaire du Fascicule no. 2

Les nombres de Lucas et Lehmer sans diviseur primitif
Mourad Abouzaid
p. 299-313
The equation x 2n +y 2n =z 5
Michael A. Bennett
p. 315-321
Kneser’s theorem for upper Banach density
Prerna Bihani ; Renling Jin
p. 323-343
On a conjecture of Watkins
Neil Dummigan
p. 345-355
On three questions concerning 0,1-polynomials
Michael Filaseta ; Carrie Finch ; Charles Nicol
p. 357-370
PAC fields over number fields
Moshe Jarden
p. 371-377
Finite automata and algebraic extensions of function fields
Kiran S. Kedlaya
p. 379-420
Badly approximable systems of linear forms over a field of formal series
Simon Kristensen
p. 421-444
A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip 3/4≤σ<1
Yuk-Kam Lau
p. 445-470
Small exponent point groups on elliptic curves
Florian Luca ; James McKee ; Igor E. Shparlinski
p. 471-476
A class–field theoretical calculation
Cristian D. Popescu
p. 477-486
Unimodular Pisot substitutions and their associated tiles
Jörg M. Thuswaldner
p. 487-536

Sommaire du Fascicule no. 3

Bases of canonical number systems in quartic algebraic number fields
Horst Brunotte ; Andrea Huszti ; Attila Pethő
p. 537-557
A Terr algorithm for computations in the infrastructure of real-quadratic number fields
Johannes Buchmann ; Ulrich Volmer
p. 559-572
Counting discriminants of number fields
Henri Cohen ; Francisco Diaz y Diaz ; Michel Olivier
p. 573-593
Solving conics over function fields
Mark van Hoeij ; John Cremona
p. 595-606
Asymptotics of number fields and the Cohen–Lenstra heuristics
Jürgen Klüners
p. 607-615
Nonsolvable nonic number fields ramified only at one small prime
Sylla Lesseni
p. 617-625
Constructing class fields over local fields
Sebastian Pauli
p. 627-652
The rank of hyperelliptic Jacobians in families of quadratic twists
Sebastian Petersen
p. 653-676
On extreme forms in dimension 8
Cordian Riener
p. 677-682
On the generalized principal ideal theorem of complex multiplication
Reinhard Schertz
p. 683-691
Fundamental units in a parametric family of not totally real quintic number fields
Andreas M. Schöpp
p. 693-706
A note on integral points on elliptic curves
Mark Watkins
p. 707-720
GiANT: Graphical Algebraic Number Theory
Aneesh Karve ; Sebastian Pauli
p. 721-727