$p$-adic $L$-Functions and $p$-adic Representations
Language: en
Pages: 176
Authors: Bernadette Perrin-Riou
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

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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 t
The Eigenbook
Language: en
Pages: 319
Authors: Joël Bellaïche
Categories: Mathematics
Type: BOOK - Published: 2021-08-11 - Publisher: Springer Nature

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​This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them. These theories and
Lectures on P-adic L-functions
Language: en
Pages: 120
Authors: Kenkichi Iwasawa
Categories: Mathematics
Type: BOOK - Published: 1972-07-21 - Publisher: Princeton University Press

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An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the
Abelian l-Adic Representations and Elliptic Curves
Language: en
Pages: 203
Authors: Jean-Pierre Serre
Categories: Mathematics
Type: BOOK - Published: 1997-11-15 - Publisher: CRC Press

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This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflect
Lectures on P-Adic L-Functions. (AM-74), Volume 74
Language: en
Pages: 112
Authors: Kinkichi Iwasawa
Categories: Mathematics
Type: BOOK - Published: 2016-03-02 - Publisher: Princeton University Press

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An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the