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Multiplicate number theory I: classical theory/ [by] Hugh L. Montgomery [and] Robert C. Vaughan

By: Contributor(s): Language: ENG Series: Cambridge studies in advanced mathematics ; 97Publication details: Cambridge: Cambridge University Press, c2011Edition: 1st paperback edDescription: xvii, 549 p. ; 23 cmISBN:
  • 9781107405820 (pbk.):
Subject(s): DDC classification:
  • 23 rd 512.723 MON/M
Summary: 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.
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Includes bibliography and indexes.

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.

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