P-Adic L-Functions and P-Adic Representations

✍ Scribed by Bernadette Perrin-Riou, Leila Schneps

Publisher: Amer Mathematical Society
Year: 2000
Tongue: English
Leaves: 172
Series: Smf/Ams Texts and Monographs, V. 3
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Number Theory;Pure Mathematics;Mathematics;Science & Math;Mathematics;Algebra & Trigonometry;Calculus;Geometry;Statistics;Science & Mathematics;New, Used & Rental Textbooks;Specialty Boutique

📜 SIMILAR VOLUMES

p-adic Numbers, p-adic Analysis, and Zet

📁 p-adic Numbers, p-adic Analysis, and Zeta-Functions

✍ Neal Koblitz 📂 Library 📅 1977 🏛 Springer 🌐 English

p-adic Numbers, p-adic Analysis, and Zet

📁 p-adic Numbers, p-adic Analysis, and Zeta-Functions

✍ Neal Koblitz (auth.) 📂 Library 📅 1984 🏛 Springer-Verlag New York 🌐 English

p-adic Numbers, p-adic Analysis, and Zet

📁 p-adic Numbers, p-adic Analysis, and Zeta-Functions

✍ Neal Koblitz 📂 Library 📅 1984 🏛 Springer 🌐 English

<p>Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin's "Course in Mathematical Logic" (GTM

p-adic numbers, p-adic analysis, and zet

📁 p-adic numbers, p-adic analysis, and zeta-functions

✍ Neal Koblitz 📂 Library 📅 1996 🏛 Springer 🌐 English

Lectures on p-adic L-functions

📁 Lectures on p-adic L-functions

✍ Kenkichi Iwasawa 📂 Library 📅 1972 🏛 Princeton University Press 🌐 English

These are notes of lectures given at Princeton University during the fall semester of 1969. The notes present an introduction to p-adic L-functions originated in Kubota-Leopoldt {10} as p-adic analogues of classical L-functions of Dirichlet.

p-adic L-functions and Iwasawa's theory

📁 p-adic L-functions and Iwasawa's theory

✍ Coates, John 📂 Library 📅 1977 🌐 English