Seminaire de theorie des nombres, paris, 1990-1991

This is the twelfth annual volume of papers based on the lectures given at Seminaire de Theories des Nombres de Paris in 1900-1991, including some additional papers of widespread interest. The results presented here by an international group of mathematicians reflect recent works in many areas of number theory and should form a basis for further discussion of these topics. Table of Contents - Riemann's Period Relations - A note on cubic exponential sums - Calculs de nombres de classes et de regulateurs de corps quadratiques en temps sous-exponential - Monodromie et Arithmetique des Surfaces - Sur le comportement en moyenne du rang des courbes y 2 = x 3 + k - Correspondance de Jacquet-Langlands explicite I: le cas modere de degre premier - La valeur moyenne de la fonction zeta de Riemann - On p -adic height pairings - Theorie d'Iwasawa et hauteurs p -adiques - Galois representations attached to points on Shimura varieties - Power series representing algebraic functions - Abelian varieties of K 3 type Series: Progress in Mathematics, Volume 108