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  • 1
    Online Resource
    Online Resource
    New York : Academic Press
    UID:
    b3kat_BV036962417
    Format: 1 Online-Ressource (x, 435 p.)
    Edition: [Nachdr.]
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 012117851X , 9780121178512
    Series Statement: Pure and applied mathematics 20
    Note: Includes index
    Additional Edition: Reproduktion von Number theory 1986
    Language: English
    Keywords: Zahlentheorie ; Einführung
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  • 2
    Online Resource
    Online Resource
    New York :Academic Press,
    UID:
    almahu_9947366241102882
    Format: 1 online resource (449 p.)
    ISBN: 1-281-76324-1 , 9786611763244 , 0-08-087332-4
    Series Statement: Pure and applied mathematics
    Content: Number theory
    Note: Description based upon print version of record. , Front Cover; Number Theory; Copyright Page; Translator's Preface; Foreword; Contents; Chapter 1. Congruences; 1. Congruences with Prime Modulus; 2. Trigonometric Sums; 3. p-Adic Numbers; 4. An Axiomatic Characterization of the Field of p-adic Numbers; 5. Congruences and p-adic Integers; 6. Quadratic Forms with p-adic Coefficients; 7. Rational Quadratic Forms; Chapter 2. Representation of Numbers by Decomposable Forms; 1. Decomposable Forms; 2. Full Modules and Their Rings of Coefficients; 3. Geometric Methods; 4. The Groups of Units , 5. The Solution of the Problem of the Representation of Rational Numbers by Full Decomposable Forms6. Classes of Modules; 7. Representation of Numbers by Binary Quadratic Forms; Chapter 3. The Theory of Divisibility; 1. Some Special Cases of Fermat's Theorem; 2. Decomposition into Factors; 3. Divisors; 4. Valuations; 5. Theories of Divisors for Finite Extensions; 6. Dedekind Rings; 7. Divisors in Algebraic Number Fields; 8. Quadratic Fields; Chapter 4. Local Methods; 1. Fields Complete with Respect to a Valuation; 2. Finite Extensions of Fields with Valuations , 3. Factorization of Polynomials in a Field Complete with Respect to a Valuation4. Metrics on Algebraic Number Fields; 5. Analytic Functions in Complete Fields; 6. Skolem's Method; 7. Local Analytic Manifolds; Chapter 5. Analytic Methods; 1. Analytic Formulas for the Number of Divisor Classes; 2. The Number of Divisor Classes of Cyclotomic Fields; 3. Dirichlet's Theorem on Prime Numbers in Arithmetic Progressions; 4. The Number of Divisor Classes of Quadratic Fields; 5. The Number of Divisor Classes of Prime Cyclotomic Fields; 6. A Criterion for Regularity , 7. The Second Case of Fermat's Theorem for Regular Exponents8. Bernoulli Numbers; Algebraic Supplement; 1. Quadratic Forms over Arbitrary Fields of Characteristic # 2; 2. Algebraic Extensions; 3. Finite Fields; 4. Some Results on Commutative Rings; 5. Characters; Tables; Subject Index , English
    Additional Edition: ISBN 0-12-117851-X
    Language: English
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  • 3
    UID:
    gbv_630029296
    Format: Online Ressource (x, 435 pages)
    Edition: [Nachdr.]
    Edition: Online-Ausg. 2009 Elsevier e-book collection on ScienceDirect Electronic reproduction; Mode of access: World Wide Web
    ISBN: 012117851X , 9780121178512
    Series Statement: Pure and applied mathematics 20
    Note: Includes index. - Print version record , Electronic reproduction; Mode of access: World Wide Web
    Additional Edition: ISBN 012117851X
    Additional Edition: Erscheint auch als Druck-Ausgabe Borevič, Zenon Ivanovič, 1922 - 1995 Number theory New York [u.a.] : Academic Press, 1986 ISBN 012117851X
    Language: English
    Keywords: Electronic books ; Electronic books
    URL: Volltext  (lizenzpflichtig)
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