P-adic L-functions and P-adic Representations
Book Details
Format
Paperback / Softback
Book Series
SMF/AMS Texts & Monographs
ISBN-10
0821819461
ISBN-13
9780821819463
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jan 30th, 2000
Weight
322 grams
Dimensions
25.00 x 17.90 x 1.00 cms
Product Classification:
Number theory
Ksh 10,450.00
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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 from $p$-adic Galois representations (or, more generally, from motives).
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.
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