Primes of the form p = x2 + ny2 Fermat, class field theory, and complex multiplication
The basic question of the whole book, which we formulate as follows: Basic Question 0.1. Given a positive integer n, which primes p can be expressed in the form p = x² + ny² where x and y are integers? This book has several goals. The first, to answer the basic question, has already been stated. A s...
| Autor principal: | |
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Hoboken, New Jersey :
John Wiley & Sons, Inc
[2013]
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| Edición: | Second edition |
| Colección: | Wiley ebooks.
Pure and Applied Mathematics. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b46151679*spi |
| Sumario: | The basic question of the whole book, which we formulate as follows: Basic Question 0.1. Given a positive integer n, which primes p can be expressed in the form p = x² + ny² where x and y are integers? This book has several goals. The first, to answer the basic question, has already been stated. A second goal is to bridge the gap between elementary number theory and class field theory. Although our basic question is simple enough to be stated in any beginning course in number theory, we will see that its solution is intimately bound up with higher reciprocity laws and class field theory. A related goal is to provide a well-motivated introduction to the classical formulation of class field theory. This will be done by carefully stating the basic theorems and illustrating their power in various concrete situations. |
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| Notas: | Originally published: Primes of the form x² + ny², 1989. |
| Descripción Física: | 1 recurso electrónico (xvi, 359 páginas) : ilustraciones |
| Formato: | Forma de acceso: World Wide Web. |
| Bibliografía: | Incluye referencias bibliográficas (páginas 335-346) e índice. |
| ISBN: | 9781118400746 9781118400739 9781118400753 9781322078281 9781118390184 |
