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Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups Book

Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups
Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups, 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 princi, Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups has a rating of 3.5 stars
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Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups, 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 princi, Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups
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  • Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups
  • Written by author Emmanuel Kowalski
  • Published by Cambridge University Press, July 2008
  • 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 princi
  • Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area.
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Authors

Prerequisites and notation

1 Introduction 1

2 The principle of the large sieve 8

3 Group and conjugacy sieves 32

4 Elementary and classical examples 45

5 Degrees of representations of finite groups 70

6 Probabilistic sieves 87

7 Sieving in discrete groups 101

8 Sieving for Frobenius over finite fields 154

App. A Small sieves 197

App. B Local density computations over finite fields 204

App. C Representation theory 220

App. D Property (T) and Property ([tau]) 232

App. E Linear algebraic groups 245

App. F Probability theory and random walks 254

App. G Sums of multiplicative functions 262

App. H Topology 268

References 283

Index 289


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Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups, 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 princi, Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups

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Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups, 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 princi, Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups

Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups

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Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups, 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 princi, Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups

Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groups

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