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  • 1
    Online-Ressource
    Online-Ressource
    Multiplicative number theory I : classical theory (2007)
    Cambridge : Cambridge University Press
    Details
    UID:
    b3kat_BV043940615
    Umfang: 1 Online-Ressource (xvii, 552 Seiten)
    ISBN: 9780511618314
    Serie: Cambridge studies in advanced mathematics 97
    Inhalt: Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. This 2006 text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises
    Anmerkung: Title from publisher's bibliographic system (viewed on 05 Oct 2015) , Dirichlet series I -- The elementary theory of arithmetic functions -- Principles and first examples of sieve methods -- Primes in arithmetic progressions I -- Dirichlet series II -- The prime number theorem -- Applications of the prime number theorem -- Further discussion of the prime number theorem -- Primitive characters and Gauss sums -- Analytic properties of the zeta function and L-functions -- Primes in arithmetic progressions II -- Explicit formulae -- Conditional estimates -- Zeros -- Oscillations of error terms -- Appendices. A. The Riemann-Stieltjes integral; B. Bernoulli numbers and the Euler-MacLaurin summation formula; C. The gamma function; D. Topics in harmonic analysis
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 978-1-107-40582-0
    Weitere Ausg.: Erscheint auch als Druck-Ausgabe ISBN 978-0-521-84903-6
    Sprache: Englisch
    Fachgebiete: Mathematik
    RVK:
    SK 180
    Schlagwort(e): Multiplikative Zahlentheorie
    DOI: 10.1017/CBO9780511618314
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext
    URL: Inhaltstext
    Mehr zum Autor: Montgomery, Hugh L. 1944-
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    Online Zugang
    Open Access Wunsch
    UB Potsdam
    TU Berlin
  • 2
    Online-Ressource
    Online-Ressource
    Multiplicative number theory I : classical theory (2007)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almahu_9948233699602882
    Umfang: 1 online resource (xvii, 552 pages) : , digital, PDF file(s).
    ISBN: 9780511618314 (ebook)
    Serie: Cambridge studies in advanced mathematics ; 97
    Inhalt: Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. This 2006 text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises.
    Anmerkung: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , Dirichlet series I -- The elementary theory of arithmetic functions -- Principles and first examples of sieve methods -- Primes in arithmetic progressions I -- Dirichlet series II -- The prime number theorem -- Applications of the prime number theorem -- Further discussion of the prime number theorem -- Primitive characters and Gauss sums -- Analytic properties of the zeta function and L-functions -- Primes in arithmetic progressions II -- Explicit formulae -- Conditional estimates -- Zeros -- Oscillations of error terms -- Appendices. A. The Riemann-Stieltjes integral; B. Bernoulli numbers and the Euler-MacLaurin summation formula; C. The gamma function; D. Topics in harmonic analysis.
    Weitere Ausg.: Print version: ISBN 9780521849036
    Sprache: Englisch
    URL: https://doi.org/10.1017/CBO9780511618314
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    HU Berlin
  • 3
    Online-Ressource
    Online-Ressource
    Multiplicative number theory / (2007)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almafu_9959241475602883
    Umfang: 1 online resource (xvii, 552 pages) : , digital, PDF file(s).
    ISBN: 1-107-16477-X , 1-280-70997-9 , 9786610709977 , 0-511-25696-5 , 0-511-25746-5 , 0-511-25588-8 , 0-511-31958-4 , 0-511-61831-X , 0-511-25645-0
    Serie: Cambridge studies in advanced mathematics ; 97
    Inhalt: Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. This 2006 text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises.
    Anmerkung: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , I. Classical theory. , English
    Weitere Ausg.: ISBN 1-107-40582-3
    Weitere Ausg.: ISBN 0-521-84903-9
    Sprache: Englisch
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
    BibTip Andere fanden auch interessant ...
    Online-Ressource
    FU Berlin
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