Introduction to analytic number theory
/ Tom M. Apostol
- New Delhi : Narosa Publishing House, 1989
- xii, 338 p.
includes bibliography and index
1. The fundamental theorem of arithmetic 2. Arithmetical functions and dirichlet multiplication 3. Averages of arithmetical functions 4. Some elementary theorems on the distribution of prime numbers 5. Congruences 6. Finite abelian groups and their characters 7. Dirichlet'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