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Multiplicative Number Theory II
Primes and Sieves
Brief Description
This long-anticipated work shares the aims of its celebrated companion: namely, to provide an introduction for students and a reference for researchers to the techniques, results, and terminology of multiplicative number theory. This volume builds on the earlier one (which served as an introduction to basic,...
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Format: Hardback
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Multiplicative Number Theory II
$29700
Unit price
/
Unavailable
Long anticipated, this work focuses on sieve methods and their applications to areas such as the gaps between prime numbers, large values of Dirichlet polynomials, and zero density estimates. With numerous exercises and a thorough set of references, this book will prove essential reading for analytic number theorists.
Like its celebrated companion, this long-anticipated book will prove essential reading for analytic number theorists.
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Description
This long-anticipated work shares the aims of its celebrated companion: namely, to provide an introduction for students and a reference for researchers to the techniques, results, and terminology of multiplicative number theory. This volume builds on the earlier one (which served as an introduction to basic, classical results) and focuses on sieve methods.
This area has witnessed a number of major advances in recent years, for example, gaps between primes, large values of Dirichlet polynomials and zero density estimates, all of which feature here. Despite the fact that Multiplicative Number Theory II can serve as an entry to contemporary mathematics, it remains largely self-contained, with appendices containing background or material more advanced than undergraduate mathematics.
Again, exercises, of which there is a profusion, illustrate the theory or indicate ways in which it can be developed. Each chapter ends with a thorough set of references, which will be essential for all analytic number theorists.
Series: Cambridge Studies in Advanced Mathematics
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Multiplicative Number Theory II
This long-anticipated work shares the aims of its celebrated companion: namely, to provide an introduction for students and a reference for researchers to the techniques, results, and terminology of multiplicative number theory. This volume builds on the earlier one (which served as an introduction to basic, classical results) and focuses on sieve methods. This area has witnessed a number of...Hardback$29700Unit price /UnavailableAvailableShips in 2-3 weeks
Book Details
INFORMATION
ISBN: 9781009445054
Publisher: Cambridge University Press
Format: Hardback
Date Published: 09 April 2026
Country: United Kingdom
Imprint: Cambridge University Press
Illustration: Worked examples or Exercises
Audience: General / adult, Tertiary education
DIMENSIONS
Weight: 875g
Pages: 476
About the Author
Hugh L. Montgomery is Professor Emeritus in the Department of Mathematics at the University of Michigan, Ann Arbor. Robert C. Vaughan, FRS, was formerly Professor of Pure Mathematics at Imperial College London, and is currently Professor of Mathematics in the Department of Mathematics at Pennsylvania State University, University Park.
Also by Hugh L. Montgomery
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