The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups (Cambridge Tracts in Mathematics, Series Number 175) - Hardcover
Synopsis
Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area.
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About the Author
Emmanuel Kowalski is Professor in the Departement Mathematik at ETH Zürich.
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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)
Published by
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ISBN 10: 0521888514
ISBN 13: 9780521888516
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The Large Sieve and its Applications (Hardcover)
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ISBN 10: 0521888514
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 realisation 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. This item is printed on demand. 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
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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: Arithmetic Geometry, Random Walks and Discrete Groups (Cambridge Tracts in Mathematics, Series Number 175)
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ISBN 10: 0521888514
ISBN 13: 9780521888516
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Condition: New. Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area. Series: Cambridge Tracts in Mathematics. Num Pages: 316 pages, 10 b/w illus. 9 tables 14 exercises. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 234 x 160 x 22. Weight in Grams: 634. . 2008. 1st Edition. hardcover. . . . . Seller Inventory # V9780521888516
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The Large Sieve and Its Applications: Arithmetic Geometry, Random Walks and Discrete Groups (Hardcover)
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Cambridge University Press, Cambridge, 2008
ISBN 10: 0521888514
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. This item is printed on demand. 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
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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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The Large Sieve and Its Applications
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Condition: New. pp. xxi + 293 Index. Seller Inventory # 26416152