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  • 1
    Online Resource
    Online Resource
    Multiplicative number theory I : classical theory (2007)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almahu_9948233699602882
    Format: 1 online resource (xvii, 552 pages) : , digital, PDF file(s).
    ISBN: 9780511618314 (ebook)
    Series Statement: Cambridge studies in advanced mathematics ; 97
    Content: 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.
    Note: 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.
    Additional Edition: Print version: ISBN 9780521849036
    Language: English
    Subjects: Mathematics
    RVK:
    SK 180
    URL: https://doi.org/10.1017/CBO9780511618314
    URL: Volltext
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    HU Berlin
    UB Potsdam
  • 2
    Online Resource
    Online Resource
    Multiplicative number theory I : classical theory (2007)
    Cambridge : Cambridge University Press
    Details
    UID:
    b3kat_BV043940615
    Format: 1 Online-Ressource (xvii, 552 Seiten)
    ISBN: 9780511618314
    Series Statement: Cambridge studies in advanced mathematics 97
    Content: 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
    Note: 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
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-1-107-40582-0
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-0-521-84903-6
    Language: English
    Subjects: Mathematics
    RVK:
    SK 180
    Keywords: Multiplikative Zahlentheorie
    DOI: 10.1017/CBO9780511618314
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Montgomery, Hugh L. 1944-
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    TU Berlin
  • 3
    Online Resource
    Online Resource
    Multiplicative number theory / (2007)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almafu_9959241475602883
    Format: 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
    Series Statement: Cambridge studies in advanced mathematics ; 97
    Content: 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.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , I. Classical theory. , English
    Additional Edition: ISBN 1-107-40582-3
    Additional Edition: ISBN 0-521-84903-9
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    FU Berlin
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