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The Large Sieve and its Applications : Arithmetic Geometry, Random Walks and Discrete Groups.
Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Leiden :
Cambridge University Press,
2008.
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| Colección: | Cambridge tracts in mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Title; Copyright; Contents; Preface; Acknowledgments; 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 (t); Appendix E Linear algebraic groups.
- Appendix F Probability theory and random walksAppendix G Sums of multiplicative functions; Appendix H Topology; References; Index.