The Large Sieve and its Applications: Arithmetic Geometry, Random Walks and Discrete Groupsby E. Kowalski
Pub. Date: 07/14/2008
Publisher: Cambridge University Press
Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area. See more details below
Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area.
Table of Contents
Preface; Prerequisites and notation; 1. Introduction; 2. The principle of the large sieve; 3. Group and conjugacy sieves; 4. Elementary and classical examples; 5. Degrees of representations of finite groups; 6. Probabilistic sieves; 7. Sieving in discrete groups; 8. Sieving for Frobenius over finite fields; Appendix A. Small sieves; Appendix B. Local density computations over finite fields; Appendix C. Representation theory; Appendix D. Property (T) and Property (τ); Appendix E. Linear algebraic groups; Appendix F. Probability theory and random walks; Appendix G. Sums of multiplicative functions; Appendix H. Topology; Bibliography; Index.
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