P-Adic L-Functions and P-Adic Representations

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P-Adic L-Functions and P-Adic...

P-Adic L-Functions and P-Adic Representations

Name: P-Adic L-Functions and P-Adic Representations
ISBN: 9780821819463

Bernadette Perrin-Riou, Leila Schneps

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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.

Catégories:

Mathematics

Année:

2000

Editeur::

Amer Mathematical Society

Langue:

english

Pages:

150

ISBN 10:

0821819461