P-adic L-functions and P-adic Representations
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A01=American Mathematical Society
Author_American Mathematical Society
Category=PBH
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Product details
- ISBN 9780821819463
- Weight: 310g
- Publication Date: 30 Jan 2000
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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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.
