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" Introduction to analytic and probabilistic number theory / "
Gérald Tenenbaum ; translated by Patrick Ion
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BL
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| Record Number
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587201
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| Doc. No
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b416420
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| Uniform Title
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Introduction à la theórie analytique et probabiliste des nombres.English
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| Main Entry
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Tenenbaum, Gérald
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| Title & Author
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Introduction to analytic and probabilistic number theory /\ Gérald Tenenbaum ; translated by Patrick Ion
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| Edition Statement
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Third edition
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| Series Statement
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Graduate studies in mathematics,; volume 163
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| Page. NO
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xxiv, 629 pages ;; 27 cm
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| ISBN
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9780821898543
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: 082189854X
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| Bibliographies/Indexes
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Includes bibliographical references (pages 591-615) and index
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| Contents
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Part I. Elementary methods ; Prime numbers ; Arithmetic functions ; Average orders ; Sieve methods ; Extremal orders ; The method of van der Corput ; Diophantine approximation -- Part II. Complex analysis methods ; The Euler Gamma function ; Generating functions: Dirichlet series ; Summation formulae ; The Riemann zeta function ; The prime number theorem and the Riemann hypothesis ; The Selberg-Delange method ; Two arithmetic applications ; Tauberian theorems ; Primes in arithmetic progressions -- Part III. Probabilistic methods ; Densities ; Limiting distributions of arithmetic functions ; Normal order ; Distribution of addictive functions ; Friable integers. The saddle-point method ; Integers free of small prime factors
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| Subject
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Number theory
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| Subject
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Probabilistic number theory
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| LC Classification
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QA241.T42313 2015
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