P-adic L-Functions and P-adic Representations by Bernadette Perrin-Riou

P-adic L-Functions and P-adic Representations 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).

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 (see Asterisque 229, 1995), the field has undergone significant progress. These advances are noted in this English edition. Also, some minor improvements have been made to the text.
Author(s) : Bernadette Perrin-Riou Format : Paperback Book
ISBN-10 : 0821819461 ISBN-13 : 9780821819463
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Product Details:

Series Title : SMF/AMS Texts & Monographs

Country Publication : United States

Publication Date : 30/03/2000

Publisher : American Mathematical Society

Page Length : 150mm

Page Size : 254mm