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- DescriptionPrime 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 tes and references as well as over 500 exercises.
- Author BiographyHugh Montgomery is a Professor of Mathematics at the University of Michigan. Robert Vaughan is a Professor of Mathematics at Pennsylvannia State University.
- Author(s)Hugh L. Montgomery,Robert C. Vaughan
- PublisherCambridge University Press
- Date of Publication16/11/2006
- Series TitleCambridge Studies in Advanced Mathematics
- Series Part/Volume NumberNo. 97
- Place of PublicationCambridge
- Country of PublicationUnited Kingdom
- ImprintCambridge University Press
- Content Note510 exercises
- Weight1010 g
- Width152 mm
- Height228 mm
- Spine37 mm
- Series Edited byB. Bollobas,W. Fulton,A. Katok,P. Sarnak,B. Simon,B. Totaro
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