skip to content
Introduction to analytic and probabilistic number theory Preview this item
ClosePreview this item
Checking...

Introduction to analytic and probabilistic number theory

Author: Gérald Tenenbaum
Publisher: Providence, Rhode Island : American Mathematical Society, [2015]
Series: Graduate studies in mathematics, v. 163.
Edition/Format:   Print book : English : Third editionView all editions and formats
Database:WorldCat
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: Gérald Tenenbaum
ISBN: 9780821898543 082189854X
OCLC Number: 892794777
Language Note: English, translated from the French.
Description: xxiv, 629 pages ; 27 cm.
Contents: 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.
Series Title: Graduate studies in mathematics, v. 163.
Other Titles: Introduction à la theórie analytique et probabiliste des nombres.
Responsibility: Gérald Tenenbaum ; translated by Patrick Ion.

Reviews

Editorial reviews

Publisher Synopsis

"The author has made important contributions to number theory and his mastery of the material is reflected in the exposition, which is lucid, elegant, and accurate". - Mathematical Reviews

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/892794777> # Introduction to analytic and probabilistic number theory
    a schema:Book, schema:CreativeWork ;
    bgn:translationOfWork <http://www.worldcat.org/title/-/oclc/892794777#CreativeWork/unidentifiedOriginalWork> ; # Introduction à la theórie analytique et probabiliste des nombres.
    library:oclcnum "892794777" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/riu> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory> ; # Number theory
    schema:about <http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_elementary_number_theory_elementary_number_theory> ; # Number theory--Elementary number theory--Elementary number theory
    schema:about <http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_diophantine_approximation_transcendental_number_theory_diophantine_approximation_transcendental_number_theory> ; # Number theory--Diophantine approximation, transcendental number theory--Diophantine approximation, transcendental number theory
    schema:about <http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_research_exposition_monographs_survey_articles> ; # Number theory--Research exposition (monographs, survey articles)
    schema:about <http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_multiplicative_number_theory_multiplicative_number_theory> ; # Number theory--Multiplicative number theory--Multiplicative number theory
    schema:about <http://dewey.info/class/512.73/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/3863308564#Topic/talteori> ; # Talteori
    schema:about <http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_zeta_and_$l$_functions_analytic_theory_zeta_and_$l$_functions_analytic_theory> ; # Number theory--Zeta and $L$-functions: analytic theory--Zeta and $L$-functions: analytic theory
    schema:about <http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_exponential_sums_and_character_sums_exponential_sums_and_character_sums> ; # Number theory--Exponential sums and character sums--Exponential sums and character sums
    schema:about <http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_probabilistic_theory_distribution_modulo_$1$_metric_theory_of_algorithms_probabilistic_theory_distribution_modulo_$1$_metric_theory_of_algorithms> ; # Number theory--Probabilistic theory: distribution modulo $1$; metric theory of algorithms--Probabilistic theory: distribution modulo $1$; metric theory of algorithms
    schema:about <http://experiment.worldcat.org/entity/work/data/3863308564#Topic/probabilistic_number_theory> ; # Probabilistic number theory
    schema:bookEdition "Third edition." ;
    schema:bookFormat bgn:PrintBook ;
    schema:creator <http://experiment.worldcat.org/entity/work/data/3863308564#Person/tenenbaum_gerald> ; # Gérald Tenenbaum
    schema:datePublished "2015" ;
    schema:description "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."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/3863308564> ; # Introduction à la theórie analytique et probabiliste des nombres.
    schema:inLanguage "en" ;
    schema:isPartOf <http://worldcat.org/issn/1065-7339> ; # Graduate studies in mathematics,
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/3863308564#Series/graduate_studies_in_mathematics> ; # Graduate studies in mathematics ;
    schema:name "Introduction to analytic and probabilistic number theory"@en ;
    schema:productID "892794777" ;
    schema:workExample <http://worldcat.org/isbn/9780821898543> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/892794777> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/3863308564#Person/tenenbaum_gerald> # Gérald Tenenbaum
    a schema:Person ;
    schema:familyName "Tenenbaum" ;
    schema:givenName "Gérald" ;
    schema:name "Gérald Tenenbaum" ;
    .

<http://experiment.worldcat.org/entity/work/data/3863308564#Series/graduate_studies_in_mathematics> # Graduate studies in mathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/892794777> ; # Introduction to analytic and probabilistic number theory
    schema:name "Graduate studies in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_diophantine_approximation_transcendental_number_theory_diophantine_approximation_transcendental_number_theory> # Number theory--Diophantine approximation, transcendental number theory--Diophantine approximation, transcendental number theory
    a schema:Intangible ;
    schema:name "Number theory--Diophantine approximation, transcendental number theory--Diophantine approximation, transcendental number theory"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_elementary_number_theory_elementary_number_theory> # Number theory--Elementary number theory--Elementary number theory
    a schema:Intangible ;
    schema:name "Number theory--Elementary number theory--Elementary number theory"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_exponential_sums_and_character_sums_exponential_sums_and_character_sums> # Number theory--Exponential sums and character sums--Exponential sums and character sums
    a schema:Intangible ;
    schema:name "Number theory--Exponential sums and character sums--Exponential sums and character sums"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_multiplicative_number_theory_multiplicative_number_theory> # Number theory--Multiplicative number theory--Multiplicative number theory
    a schema:Intangible ;
    schema:name "Number theory--Multiplicative number theory--Multiplicative number theory"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_probabilistic_theory_distribution_modulo_$1$_metric_theory_of_algorithms_probabilistic_theory_distribution_modulo_$1$_metric_theory_of_algorithms> # Number theory--Probabilistic theory: distribution modulo $1$; metric theory of algorithms--Probabilistic theory: distribution modulo $1$; metric theory of algorithms
    a schema:Intangible ;
    schema:name "Number theory--Probabilistic theory: distribution modulo $1$; metric theory of algorithms--Probabilistic theory: distribution modulo $1$; metric theory of algorithms"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_research_exposition_monographs_survey_articles> # Number theory--Research exposition (monographs, survey articles)
    a schema:Intangible ;
    schema:name "Number theory--Research exposition (monographs, survey articles)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/3863308564#Topic/number_theory_zeta_and_$l$_functions_analytic_theory_zeta_and_$l$_functions_analytic_theory> # Number theory--Zeta and $L$-functions: analytic theory--Zeta and $L$-functions: analytic theory
    a schema:Intangible ;
    schema:name "Number theory--Zeta and $L$-functions: analytic theory--Zeta and $L$-functions: analytic theory"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/3863308564#Topic/probabilistic_number_theory> # Probabilistic number theory
    a schema:Intangible ;
    schema:name "Probabilistic number theory"@en ;
    .

<http://worldcat.org/entity/work/id/3863308564> # Introduction à la theórie analytique et probabiliste des nombres.
    schema:name "Introduction à la theórie analytique et probabiliste des nombres." ;
    .

<http://worldcat.org/isbn/9780821898543>
    a schema:ProductModel ;
    schema:isbn "082189854X" ;
    schema:isbn "9780821898543" ;
    .

<http://worldcat.org/issn/1065-7339> # Graduate studies in mathematics,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/892794777> ; # Introduction to analytic and probabilistic number theory
    schema:issn "1065-7339" ;
    schema:name "Graduate studies in mathematics," ;
    .

<http://www.worldcat.org/title/-/oclc/892794777#CreativeWork/unidentifiedOriginalWork> # Introduction à la theórie analytique et probabiliste des nombres.
    a schema:CreativeWork ;
    schema:inLanguage "fr" ;
    schema:name "Introduction à la theórie analytique et probabiliste des nombres." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.