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SMF/AMS Texts and Monographs
2000; 150 pp; softcover
List Price: US$60
Member Price: US$48
Order Code: SMFAMS/3
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 Astérisque 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.
Titles in this series are co-published with Société Mathématique de France. SMF members are entitled to AMS member discounts.
Graduate students and research mathematicians interested in number theory.
"Written in a concise but readable style and can be recommended to readers interested in this rapidly growing subject."
-- European Mathematical Society Newsletter
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