Articles liés à P-Adic L-Functions And P-Adic Representation

P-Adic L-Functions And P-Adic Representation - Couverture souple

Perrin-Riou, Bernadette

 
9780821819463: P-Adic L-Functions And P-Adic Representation

Synopsis

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.

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