Issue no. 2 Table of Contents

• 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 $3/4\le \sigma <1$

  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

Issue no. 3 Table of Contents

• 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

Issue no. 1 Table of Contents

• 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 ${\mathbb{P}}^1$

  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 ${\mathbf{SL}}_2\left(\mathbf{Z}\right)$

  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