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Multiplicative Number Theory I - Montgomery, Hugh L.
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Montgomery, Hugh L.:
Multiplicative Number Theory I - gebunden oder broschiert

ISBN: 9780521849036

[ED: Hardcover], [PU: CAMBRIDGE UNIVERSITY PRESS], A text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State. 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. The 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. Table of contents: Preface Notation 1. Dirichlet series-I 2. The elementary theory of arithmetic functions 3. Principles and first examples of sieve methods 4. Primes in arithmetic progressions-I 5. Dirichlet series-II 6. The prime number theorem 7. Applications of the prime number theorem 8. Further discussion of the prime number theorem 9. Primitive characters and Gauss sums 10. Analytic properties of the zeta function and L-functions 11. Primes in arithmetic progressions-II 12. Explicit formulae 13. Conditional estimates 14. Zeros 15. Oscillations of error terms Appendix A. The Riemann-Stieltjes integral Appendix B. Bernoulli numbers and the Euler-MacLaurin summation formula Appendix C. The gamma function Appendix D. Topics in harmonic analysis. 570 p. - 510 exercises 7 figures - 234 x 157 mm Versandfertig in 2-4 Wochen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Multiplicative Number Theory I: Classical Theory - Hugh L. Montgomery, Robert C. Vaughan
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ISBN: 9780521849036

ID: 978052184903

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. This book comprehensively covers all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. The text is based on courses taught successfully over many years at the University of Michigan, Imperial College, London and Pennsylvania State University. Hugh L. Montgomery, Robert C. Vaughan, Books, Science and Nature, Multiplicative Number Theory I: Classical Theory Books>Science and Nature, Cambridge University Press

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Multiplicative Number Theory I. Classical Theory - Montgomery, Hugh L. / Vaughan, Robert C.
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Multiplicative Number Theory I. Classical Theory - gebrauchtes Buch

ISBN: 9780521849036

ID: 1782455

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. This book comprehensively covers all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. The text is based on courses taught successfully over many years at the University of Michigan, Imperial College, London and Pennsylvania State University. Multiplicative Number Theory I. Classical Theory Montgomery, Hugh L. / Vaughan, Robert C., Cambridge University Press

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Multiplicative Number Theory I - Montgomery, Hugh L.; Vaughan, Robert C.
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2006, ISBN: 9780521849036

ID: 279297

A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State. Mathematics Mathematics eBook, Cambridge University Press

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Multiplicative Number Theory I Hb editado por Cambridge, [PU: Cambridge University Press]

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Details zum Buch
Multiplicative Number Theory I. Classical Theory

A text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.

Detailangaben zum Buch - Multiplicative Number Theory I. Classical Theory


EAN (ISBN-13): 9780521849036
ISBN (ISBN-10): 0521849039
Gebundene Ausgabe
Erscheinungsjahr: 2006
Herausgeber: CAMBRIDGE UNIV PR
552 Seiten
Gewicht: 0,998 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 17.06.2007 23:24:14
Buch zuletzt gefunden am 20.12.2017 13:47:35
ISBN/EAN: 0521849039

ISBN - alternative Schreibweisen:
0-521-84903-9, 978-0-521-84903-6


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