A classical introduction to modern number theory /
Guardado en:
| Autor Principal: | |
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| Otros Autores: | |
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
New York :
Springer-Verlag,
c1990.
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| Edición: | 2nd ed. |
| Series: | Graduate texts in mathematics ;
84 |
| Etiquetas: |
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Tabla de Contenidos:
- 1. Unique factorization
- 2. Applications of unique factorization
- 3. Congruence
- 4. The structure of U(Z/nZ)
- 5. Quadratic reciprocity
- 6. Quadratic Gauss sums
- 7. Finite fields
- 8. Gauss and Jacobi sums
- 9. Cubic and biquadratic reciprocity
- 10. Equations over finite fields
- 11. The Zeta function
- 12. Algebraic number theory
- 13. Quadratic and cyclotomic fields
- 14. The Stickelberger relation and the Eisenstein reciprocity law
- 15. Bernoulli numbers
- 16. Dirichlet $L$-functions
- 17. Diophantine equations
- 18. Elliptic curves
- 19. The Mordell-Weil theorem
- 20. New progress in arithmetic geometry.