$p$-adic $L$-Functions and $p$-adic Representations

Released on by Bernadette Perrin-Riou
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  • $p$-adic $L$-Functions and $p$-adic Representations Book Detail

  • Author : Bernadette Perrin-Riou
  • Release Date : 2000
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 176
  • ISBN 13 : 9780821819463
  • File Size : 35,35 MB
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$p$-adic $L$-Functions and $p$-adic Representations by Bernadette Perrin-Riou PDF Summary

Book Description: 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 Astérisque 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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