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The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups (Cambridge Tracts in Mathematics, Series Number 175) - Hardcover
Synopsis
Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realization that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves. Also covered in detail are the tools of harmonic analysis used to implement the forms of the large sieve inequality, including the Riemann Hypothesis over finite fields, and Property (T) or Property (tau) for discrete groups.
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Book Description
The 'large sieve', an important technical tool of analytic number theory, has advanced extensively in recent years. This book develops a general form of sieve inequality, and describes its varied, sometimes surprising applications, with potential uses in fields as wide ranging as topology, probability, arithmetic geometry and discrete group theory.
About the Author
Emmanuel Kowalski is Professor in the Departement Mathematik at ETH Zürich.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2008
- ISBN 10 0521888514
- ISBN 13 9780521888516
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages316
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The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups (Cambridge Tracts in Mathematics)
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The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups (Cambridge Tracts in Mathematics, Series Number 175)
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The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups (Cambridge Tracts in Mathematics, Series Number 175)
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The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups (Cambridge Tracts in Mathematics, Series Number 175)
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ISBN 13: 9780521888516
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The Large Sieve and Its Applications: Arithmetic Geometry, Random Walks and Discrete Groups (Hardcover)
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ISBN 13: 9780521888516
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Hardcover. Condition: new. Hardcover. Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realization that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves. Also covered in detail are the tools of harmonic analysis used to implement the forms of the large sieve inequality, including the Riemann Hypothesis over finite fields, and Property (T) or Property (tau) for discrete groups. The 'large sieve', an important technical tool of analytic number theory, has advanced extensively in recent years. This book develops a general form of sieve inequality, and describes its varied, sometimes surprising applications, with potential uses in fields as wide ranging as topology, probability, arithmetic geometry and discrete group theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521888516
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The Large Sieve and Its Applications: Arithmetic Geometry, Random Walks and Discrete Groups (Hardcover)
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ISBN 13: 9780521888516
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Hardcover. Condition: new. Hardcover. Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realization that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves. Also covered in detail are the tools of harmonic analysis used to implement the forms of the large sieve inequality, including the Riemann Hypothesis over finite fields, and Property (T) or Property (tau) for discrete groups. The 'large sieve', an important technical tool of analytic number theory, has advanced extensively in recent years. This book develops a general form of sieve inequality, and describes its varied, sometimes surprising applications, with potential uses in fields as wide ranging as topology, probability, arithmetic geometry and discrete group theory. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521888516
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The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups
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The Large Sieve and Its Applications
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The large sieve , an important technical tool of analytic number theory, has advanced extensively in recent years. This book develops a general form of sieve inequality, and describes its varied, sometimes surprising applications, with potential uses in fi. Seller Inventory # 446952370
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