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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)) Checked out 15/07/2026 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