Quadratic irrationals [electronic resource] : an introduction to classical number theory / Franz Halter-Koch.
By: Halter-Koch, Franz.
Material type:
BookSeries: Monographs and textbooks in pure and applied mathematics: Publisher: Boca Raton : Chapman and Hall/CRC, 2013Description: xvi, 415 p.ISBN: 9781466591844 (ebook : PDF).Subject(s): Quadratic fields | 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.Includes bibliographical references and index.
ch.1. Quadratic irrationals -- ch. 2. Continued fractions -- ch. 3. Quadratic residues and Gauss sums -- ch. 4. L-series and Dirichlet's prime number theorem -- ch. 5. Quadratic orders -- ch. 6. Binary quadratic forms -- ch. 7. Cubic and biquadratic residues -- ch. 8. Class groups.
"This work focuses on the number theory of quadratic irrationalities in various forms, including continued fractions, orders in quadratic number fields, and binary quadratic forms. It presents classical results obtained by the famous number theorists Gauss, Legendre, Lagrange, and Dirichlet. Collecting information previously scattered in the literature, the book covers the classical theory of continued fractions, quadratic orders, binary quadratic forms, and class groups based on the concept of a quadratic irrational"-- Provided by publisher.
Also available in print edition.
Mode of access: World Wide Web.
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