This volume discusses the whole spectrum of number theory with many contributions from some of the world's leading figures. Contributors cover the very latest research developments and much of the work presented here will not be found elsewhere. Also included are surveys that will guide the reader through the extensive published literature. This text will be a necessary addition to the libraries of all workers in number theory.
Author(s): Sinnou David
Series: London Mathematical Society Lecture Note Series
Publisher: CUP
Year: 1995
Language: English
Pages: 301
Table des Matieres......Page 5
Decomposition of the integers as a direct sum of two subsets......Page 11
Theorie des motifs et interpretation geometrique des valeurs p-adiques de G functions (une introduction)......Page 47
A refinement of the Faltings-Serre method......Page 71
Sous-varietes algebriques de varietes semiabeliennes sur un corps fini......Page 79
Proprietes transcendantes des fonctions automorphes......Page 91
Supersingular primes common to two elliptic curves......Page 101
Arithmetical lifting and its applications.......Page 113
Towards an arithmetical analysis of the continuum......Page 137
On A-adic forms of half integral weight for SL (2) /Q......Page 149
Structures algebriques sur les reseaux.......Page 177
Construction of elliptic units in function fields.......Page 197
Arbres, ordres maximaux etformes quadratiques entieres......Page 219
On a conjecture that a product of k consecutive positive integers is never equal to a product of mk consecutive positive integers except for 8.9.10=6!......Page 241
Redei-matrices and applications......Page 255
Decomposition of the integers as a direct sum of two subsets......Page 271
CM Abelian varieties with almost ordinary reduction.......Page 287
