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p-adic L-functions and p-adic representations

Author: Bernadette Perrin-Riou
Publisher: Providence, RI : American Mathematical Society, 2000.
Series: SMF/AMS texts and monographs, v. 3.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Bernadette Perrin-Riou
ISBN: 0821819461 9780821819463
OCLC Number: 42761957
Description: xx, 150 p. ; 26 cm.
Contents: Construction of the module of $p$-adic $L$-functions without factors at infinity Modules of $p$-adic $L$-functions of $V$ Values of the module of $p$-adic $L$-functions The $p$-adic $L$-function of a motive Results in Galois cohomology The weak Leopoldt conjecture Local Tamagawa numbers and Euler-Poincare characteristic. Application to the functional equation Bibliography Index.
Series Title: SMF/AMS texts and monographs, v. 3.
Other Titles: Fonctions L p-adiques des représentations p-adiques.
Responsibility: Bernadette Perrin-Riou ; translated by Leila Schneps.

Abstract:

Traditionally, $p$-adic $L$-functions have been constructed from complex $L$-functions via special values and Iwasawa theory. This book presents a theory of $p$-adic $L$-functions coming directly  Read more...

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