| Description |
xii, 338 pages : illustrations ; 25 cm |
| Series |
Undergraduate texts in mathematics |
|
Undergraduate texts in mathematics.
|
| Contents |
1. The Fundamental Theorem of Arithmetic -- 2. Arithmetical Functions and Dirichlet Multiplication -- 3. Averages of Arithmetical Function -- 4. Some Elementary Theorems on the Distribution of Prime Numbers -- 5. Congruences -- 6. Finite Abelian Groups and Their Characters -- 7. Cirichlet's Theorem on Primes in Arithmetic Progressions -- 8. Periodic Arithmetical Functions and Gauss Sums -- 9. Quadratic Residues and the Quadratic Reciprocity Law -- 10. Primitive Roots -- 11. Dirichlet Series and Euler Products -- 12. The Functions -- 13. Analytic Proof of the Prime Number Theorem -- 14. Partitions |
| Summary |
This textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet's theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Riemann zeta function and Dirichlet L-functions |
| Notes |
"Corrected fourth printing"--T.p. verso |
| Bibliography |
Includes bibliographical references (pages 329-332) and indexes |
| Subject |
Arithmetic functions.
|
|
Number theory.
|
|
Numbers, Prime.
|
|
Arithmetic functions.
|
|
Number theory -- History.
|
|
Number theory.
|
|
Numbers, Prime.
|
| LC no. |
95220270 |
| ISBN |
0387901639 |
|
