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Advanced analytic number theory. Part 1, Ramification theoretic methods /
These notes are intended as an introduction to those aspects of analytic number theory which depend on and have applications to the algebraic numbers. As is well known the central problem of the theory general algebraic formulation of ·the following distribution results: number theorem, Dirichlet�...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[1983]
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| Colección: | Contemporary mathematics (American Mathematical Society) ;
15. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | These notes are intended as an introduction to those aspects of analytic number theory which depend on and have applications to the algebraic numbers. As is well known the central problem of the theory general algebraic formulation of ·the following distribution results: number theorem, Dirichlet's theorem on primes in arithmetic progressions, Cebotarev's density theorem on the distribution of Frobenius conjugacy classes in Galois groups, Hecke's density theorem on the distribution of the arguments of quasi-characters of idele class groups, Sato-Tate conjectural densities for the value distribution of the traces of Frobenius elements, strong multiplicity one theorem for automorphic representations of the general linear group, etc. These are all variants of a specific fundamental distribution problem. The principle aim of these notes is to develop these formulas and to give some of their applications. |
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| Descripción Física: | 1 online resource (viii, 190 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 185-188), and index. |
| ISBN: | 9780821876015 0821876015 |
| ISSN: | 0271-4132 ; |