Introduction to P-Adic Analytic Number Theory
Language: English
Published by Amer Mathematical Society, Providence, RI, 2002
- First Edition
- Hardcover
- Used
Seller: True Oak Books, Highland, NY, U.S.A.True Oak Books
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149 pages; Very Good condition. No noteworthy defects. No markings.; - Your satisfaction is our priority. We offer free returns and respond promptly to all inquiries. Your item will be carefully cushioned in bubble wrap and securely boxed. All orders ship on the same or next business day. Buy with confidence.
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- Title
- Introduction to P-Adic Analytic Number Theory
- Author
- Maruti Ram Murty
- Publisher
- Amer Mathematical Society, Providence, RI
- Publication year
- 2002
- Condition
- Very Good+
- Dust jacket
- No Dust Jacket As Issued
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 082183262X
- ISBN 13
- 9780821832622
- Edition
- First Edition; First Printing.
The main focus of the book is 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. These congruences are then used to construct the $p$-adic analog of the Riemann zeta function and $p$-adic analogs of Dirichlet's $L$-functions. Featured is a chapter on how to apply the theory of Newton polygons to determine Galois groups of polynomials over the rational number field. As motivation for further study, the final chapter introduces Iwasawa theory.
The book treats the subject informally, making the text accessible to non-experts. It would make a nice independent text for a course geared toward advanced undergraduates through beginning graduate students.
"Synopsis" may belong to another edition of this title.
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