P-Adic L-Functions And P-Adic Representation

Par : Bernadette Perrin-Riou

Formats :

    • Nombre de pages150
    • PrésentationBroché
    • Poids0.32 kg
    • Dimensions17,8 cm × 25,3 cm × 1,0 cm
    • ISBN0-8218-1946-1
    • EAN9780821819463
    • Date de parution21/06/2000
    • Collectionsms/ams texts and monographs
    • ÉditeurAmerican Mathematical Society

    Résumé

    Traditionally, p-adic L-functions have been constructed from complex L-functions via special values and Iwasawa theory. In this volume, Perrin-Riou presents a theory of p-adic L-functions coming directly from p-adic Galois representations (or, more generally, from motives). This theory encompasses, in particular, a construction of the module of p-adic L-functions via the arithmetic theory and a conjectural definition of the p-adic L-function via its special values. Since the original publication of this book in French (Astérisque 229, 1995), the field bas undergone significant progress. These advances are noted in this English edition. Also, some minor improvements have been made to the text.
    Traditionally, p-adic L-functions have been constructed from complex L-functions via special values and Iwasawa theory. In this volume, Perrin-Riou presents a theory of p-adic L-functions coming directly from p-adic Galois representations (or, more generally, from motives). This theory encompasses, in particular, a construction of the module of p-adic L-functions via the arithmetic theory and a conjectural definition of the p-adic L-function via its special values. Since the original publication of this book in French (Astérisque 229, 1995), the field bas undergone significant progress. These advances are noted in this English edition. Also, some minor improvements have been made to the text.