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Introduction to analytic and probabilistic number theory / Gérald Tenenbaum ; translated by Patrick Ion.
Connect to full text Available online
View online- Format:
- Book
- Author/Creator:
- Tenenbaum, Gerald.
- Series:
- Graduate studies in mathematics ; v. 163.
- Graduate Studies in Mathematics ; v. 163
- Standardized Title:
- Introduction à la theórie analytique et probabiliste des nombres. English
- Language:
- English
- French
- Subjects (All):
- Number theory.
- Probabilistic number theory.
- Physical Description:
- 1 online resource (xxiv, 629 pages).
- Edition:
- Third edition.
- Other Title:
- Graduate Studies in Mathematics.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2015]
- System Details:
- Mode of access : World Wide Web
- text file
- Contents:
- Chapter I.0. Some tools from real analysis Chapter I.1. Prime numbers Chapter I.2. Arithmetic functions Chapter I.3. Average orders Chapter I.4. Sieve methods Chapter I.5. Extremal orders Chapter I.6. The method of van der Corput Chapter I.7. Diophantine approximation Chapter II.0. The Euler gamma function Chapter II.1. Generating functions: Dirichlet series Chapter II.2. Summation formulae Chapter II.3. The Riemann zeta function Chapter II.4. The prime number theorem and the Riemann hypothesis Chapter II.5. The Selberg-Delange method Chapter II.6. Two arithmetic applications Chapter II.7. Tauberian theorems Chapter II.8. Primes in arithmetic progressions Chapter III.1. Densities Chapter III.2. Limiting distributions of arithmetic functions Chapter III.3. Normal order Chapter III.4. Distribution of additive functions and mean values of multiplicative functions Chapter III.5. Friable integers. The saddle-point method Chapter III.6. Integers free of small factors
- Notes:
- Includes bibliographical references (pages 591-615) and index.
- Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2015
- Description based on print version record.
- Other Format:
- Print version: Tenenbaum, Gérald. Introduction to analytic and probabilistic number theory /
- ISBN:
- 9781470422233
- Access Restriction:
- Restricted for use by site license.
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