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Introduction to p-adic analytic number theory

By: Material type: TextTextLanguage: English Series: Studies in Advanced Mathematics ; 27Publication details: Rhode Island American Mathematical Society 2002Description: x, 149pISBN:
  • 082183262X (HB)
Subject(s):
Contents:
1. Historical Introduction 2. Bernouilli Numbers 3. p-adic Numbers 4. Hensel's Lemma 5. p-adic Interpolation 6. p-adic L-functions 7. p-adic Integration 8. Leopoldt's Formula for L[subscript p](1, [chi]) 9. Newton Polygons 10. An Introduction to Iwasawa Theory.
Summary: Presents an elementary introduction to $p$-adic analysis from the number theory perspective. This book focuses on the study of $p$-adic $L$-functions and their analytic properties. It begins with a basic introduction to Bernoulli numbers and continues with establishing the Kummer congruences.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 511.225.1 RAM (Browse shelf(Opens below)) Available 49422

Includes index

Includes bibliographical references

1. Historical Introduction 2. Bernouilli Numbers 3. p-adic Numbers 4. Hensel's Lemma 5. p-adic Interpolation 6. p-adic L-functions 7. p-adic Integration 8. Leopoldt's Formula for L[subscript p](1, [chi]) 9. Newton Polygons 10. An Introduction to Iwasawa Theory.

Presents an elementary introduction to $p$-adic analysis from the number theory perspective. This book focuses on the study of $p$-adic $L$-functions and their analytic properties. It begins with a basic introduction to Bernoulli numbers and continues with establishing the Kummer congruences.

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The Institute of Mathematical Sciences, Chennai, India