Algebraic number theory [electronic resource] / Richard A. Mollin.
By: Mollin, Richard A.
Material type:
BookSeries: Discrete mathematics and its applications: Publisher: Boca Raton : Chapman and Hall/CRC, 2011Edition: 2nd ed.Description: xvi, 426 p.ISBN: 9781439845998 (ebook : PDF).Subject(s): Algebraic number theoryGenre/Form: Electronic books.Additional physical formats: No titleOnline resources: Distributed by publisher. Purchase or institutional license may be required for access. Also available in print edition."The second edition of this popular book features coverage of L-functions and function fields to provide a more modern view of the field. This edition also introduces class groups for both binary and quadratic forms, making it much easier to prove the finiteness of the class number of both groups via an isomorphism. In addition, the text provides new results on the relationship between quadratic residue symbols and fundamental units of real quadratic fields in conjunction with prime representation. Along with reorganizing and shortening chapters for an easier presentation of material, the author includes updated problem sets and additional examples"-- Provided by publisher.
Includes bibliographical references and index.
"A Chapman & Hall book."
1. Integral domains, ideals, and unique factorization -- 2. Field extensions -- 3. Class groups -- 4. Applications : equations and sieves -- 5. Ideal decomposition in number fields -- 6. Reciprocity laws.
Also available in print edition.
Mode of access: World Wide Web.
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