This book covers the whole spectrum of number theory, and is composed of contributions from some of the best specialists worldwide.The contributions in this book are based on the lectures delivered at the Seminaire de theorie des nombres de Paris during the academic year 93--94. It is the fifteenth annual volume.This book covers the whole spectrum of number theory, and is composed of contributions from some of the best specialists worldwide. Together they constitute the latest developments in number theory that will be an invaluable resource for all workers in that area.The contributions in this book are based on the lectures delivered at the Seminaire de theorie des nombres de Paris during the academic year 93--94. It is the fifteenth annual volume.This book covers the whole spectrum of number theory, and is composed of contributions from some of the best specialists worldwide. Together they constitute the latest developments in number theory that will be an invaluable resource for all workers in that area.This book covers the whole spectrum of number theory and is composed of contributions from well-known, international specialists. These lectures constitute the latest developments in number theory and are expected to form a basis for further discussions. It is an invaluable resource for students and researchers in number theory.1. On the central critical value of the triple product L-function S. Bocherer and R. Schulze-Pillot; 2. Abelian extensions of complete discrete valuation fields I. B. Fesenko; 3. Obstructions de Manin transcendant D. Harari; 4. On Selmer groups of adjoint modular Galois representations H. Hida; 5. Alg?bres de Hecke et corps locaux proches B. Lemaire; 6. Aspects exp?rimentaux de la conjecture abc A. Nitaj; 7. Heights of points on subvarieties of Gnm W. M. Schmidt; 8. Some applications of Diophantine approximations to Diophantine equations T. N. Shorey; 9. Fields containing values of algebraic functions and related questions U. Zannier.