Volume 21 (2009) no. 1

Table of contents

Non-trivial Ш in the Jacobian of an infinite family of curves of genus 2
Anna Arnth-Jensen; E. Victor Flynn
p. 1-13
Factoring polynomials over global fields
Karim Belabas; Mark van Hoeij; Jürgen Klüners; Allan Steel
p. 15-39
Problems and results on the distribution of algebraic points on algebraic varieties
Enrico Bombieri
p. 41-57
Artin formalism for Selberg zeta functions of co-finite Kleinian groups
Eliot Brenner; Florin Spinu
p. 59-75
Fonctions zêta des hauteurs
Régis de la Bretèche
p. 77-95
Algebraic properties of a family of Jacobi polynomials
John Cullinan; Farshid Hajir; Elizabeth Sell
p. 97-108
Congruences between modular forms and lowering the level mod ℓ n
Luis Dieulefait; Xavier Taixés i Ventosa
p. 109-118
Sur la 2-cohomologie non abélienne des modèles réguliers des anneaux locaux henséliens
Jean-Claude Douai
p. 119-129
The weight distribution of the functional codes defined by forms of degree 2 on Hermitian surfaces
Frédéric A. B. Edoukou
p. 131-143
Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values
Carsten Elsner; Shun Shimomura; Iekata Shiokawa
p. 145-157
Pretentiousness in analytic number theory
Andrew Granville
p. 159-173
Kloosterman sums for prime powers in P-adic fields
Stanley J. Gurak
p. 175-201
On the ternary Goldbach problem with primes in arithmetic progressions having a common modulus
Karin Halupczok
p. 203-213
Patterns and periodicity in a family of resultants
Kevin G. Hare; David McKinnon; Christopher D. Sinclair
p. 215-234
On a dynamical Brauer–Manin obstruction
Liang-Chung Hsia; Joseph Silverman
p. 235-250