Number Theory: Séminaire de théorie des nombres de Paris 1993–94 (London Mathematical Society Lecture Note Series, Series Number 235)

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. Edited By Sinnou David. Includes Bibliographical References. Papers In English And French. Table des Matieres......Page 5 On the Central Critical Value of the Triple Product L F unction......Page 11 Abelian extensions of complete discrete valuation fields......Page 57 Obstructions de Manin transcendantes......Page 85 On Selmer Groups of Adjoint Modular Galois Representations......Page 99 Algebres de Hecke et corps locaux proches (wie preuve de la conjecture de Howe pour GL(N) en caracteristique > 0)......Page 143 Aspects experimentaux de In conjecture abc......Page 155 Heights of points on subvarieties of G a......Page 167 Some applications of Diophantine approximations to Diophantine equations......Page 199 Fields containing values of algebraic functions and related questions......Page 209 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. Starting from the work of Garrett and of Piatetskii-Shapiro and Rallis on integral representations of the triple product L-function associated to three elliptic cusp forms the critical values of these L-functions have been studied in recent years from different points of view.