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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.
Table of contents:
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. Algébres de Hecke et corps locaux proches B. Lemaire; 6. Aspects expérimentaux 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.
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 some of the best specialists worldwide.
Table of contents:
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. Algébres de Hecke et corps locaux proches B. Lemaire; 6. Aspects expérimentaux 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.
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 some of the best specialists worldwide.