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P-adic L-functions and P-adic representations

By: Contributor(s): Material type: TextTextLanguage: English Series: SMF/AMS texts and monographs ; 03Publication details: Rhode Island American Mathematical Society 2000Description: xx, 150pISBN:
  • 9780821819463 (PB)
Subject(s):
Contents:
Ch. 1. Construction of the module of p-adic L-functions without factors at infinity Ch. 2. Modules of p-adic L-functions of V Ch. 3. Values of the module of p-adic L-functions Ch. 4. The p-adic L-function of a motive
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 definition of the p-adic L-function via its special values.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.225.1(082) PER (Browse shelf(Opens below)) Available 60394

Includes index

Includes bibliography (p. 143-146) and references

Ch. 1. Construction of the module of p-adic L-functions without factors at infinity
Ch. 2. Modules of p-adic L-functions of V
Ch. 3. Values of the module of p-adic L-functions
Ch. 4. The p-adic L-function of a motive

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.

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The Institute of Mathematical Sciences, Chennai, India