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Introduction to analytic and probabi...
~
Tenenbaum, G{acute}erald.
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Introduction to analytic and probabilistic number theory /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Introduction to analytic and probabilistic number theory // G{acute}erald Tenenbaum ; translated by Patrick Ion.
作者:
Tenenbaum, G{acute}erald.
面頁冊數:
1 online resource (xxiv, 629 pages)
標題:
Number theory. -
電子資源:
http://www.ams.org/gsm/163
電子資源:
https://doi.org/10.1090/gsm/163
ISBN:
9781470422233 (online)
Introduction to analytic and probabilistic number theory /
Tenenbaum, G{acute}erald.
Introduction to analytic and probabilistic number theory /
[electronic resource] G{acute}erald Tenenbaum ; translated by Patrick Ion. - Third edition. - 1 online resource (xxiv, 629 pages) - Graduate Studies in Mathematics, v. 163.
Includes bibliographical references (pages 591-615) and index.
Chapter I.0. Some tools from real analysis
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2015
Mode of access : World Wide Web
ISBN: 9781470422233 (online)Subjects--Topical Terms:
515832
Number theory.
LC Class. No.: QA241 / .T42313 2015
Dewey Class. No.: 512/.73
Introduction to analytic and probabilistic number theory /
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Introduction to analytic and probabilistic number theory /
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[electronic resource]
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G{acute}erald Tenenbaum ; translated by Patrick Ion.
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Third edition.
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Providence, Rhode Island :
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American Mathematical Society,
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[2015]
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1 online resource (xxiv, 629 pages)
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Graduate Studies in Mathematics,
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Includes bibliographical references (pages 591-615) and index.
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Chapter I.0. Some tools from real analysis
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Chapter I.1. Prime numbers
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Chapter I.2. Arithmetic functions
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Chapter I.3. Average orders
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Chapter I.4. Sieve methods
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Chapter I.5. Extremal orders
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Chapter I.6. The method of van der Corput
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Chapter I.7. Diophantine approximation
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Chapter II.0. The Euler gamma function
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Chapter II.1. Generating functions: Dirichlet series
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Chapter II.2. Summation formulae
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Chapter II.3. The Riemann zeta function
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Chapter II.4. The prime number theorem and the Riemann hypothesis
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Chapter II.5. The Selberg-Delange method
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Chapter II.6. Two arithmetic applications
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Chapter II.7. Tauberian theorems
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Chapter II.8. Primes in arithmetic progressions
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Chapter III.1. Densities
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Chapter III.2. Limiting distributions of arithmetic functions
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Chapter III.3. Normal order
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Chapter III.4. Distribution of additive functions and mean values of multiplicative functions
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Chapter III.5. Friable integers. The saddle-point method
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Chapter III.6. Integers free of small factors
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American Mathematical Society.
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2015
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Mode of access : World Wide Web
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Number theory.
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Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms.
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Number theory -- Exponential sums and character sums -- Exponential sums and character sums.
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Number theory -- Zeta and $L$-functions: analytic theory -- Zeta and $L$-functions: analytic theory.
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Number theory -- Multiplicative number theory -- Multiplicative number theory.
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Tenenbaum, G{acute}erald.
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Introduction to analytic and probabilistic number theory /
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http://www.ams.org/gsm/163
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Contents
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https://doi.org/10.1090/gsm/163
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