Volume 17 (2005) no. 3

Table of contents

Sharper ABC-based bounds for congruent polynomials
Daniel J. Bernstein
p. 721-725
Division-ample sets and the Diophantine problem for rings of integers
Gunther Cornelissen; Thanases Pheidas; Karim Zahidi
p. 727-735
On the length of the continued fraction for values of quotients of power sums
Pietro Corvaja; Umberto Zannier
p. 737-748
Effective bounds for the zeros of linear recurrences in function fields
Clemens Fuchs; Attila Pethő
p. 749-766
Sur les corps de Hilbert-Speiser
Thomas Herreng
p. 767-778
On the ring of p-integers of a cyclic p-extension over a number field
Humio Ichimura
p. 779-786
The p-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large
Remke Kloosterman
p. 787-800
On coefficient valuations of Eisenstein polynomials
Matthias Künzer; Eduard Wirsing
p. 801-823
On linear normal lattices configurations
Mordechay B. Levin; Meir Smorodinsky
p. 825-858
On the largest prime factor of n!+2 n -1
Florian Luca; Igor E. Shparlinski
p. 859-870
Géométrie réelle des dessins d’enfant : une étude des composantes irréductibles
Layla Pharamond dit d’Costa
p. 871-904
On the computation of Hermite-Humbert constants for real quadratic number fields
Michael E. Pohst; Marcus Wagner
p. 905-920
On sum-sets and product-sets of complex numbers
József Solymosi
p. 921-924
On the exceptional set of Lagrange’s equation with three prime and one almost–prime variables
Doychin Tolev
p. 925-948
The cubics which are differences of two conjugates of an algebraic integer
Toufik Zaimi
p. 949-953