Graduate Texts in Mathematics: Multiplicative Number Theory, Third Edition (Hardback)

Condition

LIKE NEW: This book is in excellent, like-new condition. It was printed on acid-free paper.

Product Details

This is Volume 74 in Springer'sGraduate Texts in Mathematics series.

Continued from the back cover: "[This book] covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetic progressions, the theorem of Siegel, and functional equations of the L-functions and their consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The third edition includes a large number of revisions and corrections as well as a new section with references to more recent wok in the field."

Sections

1. Primes in Arithmetic Progression
2. Gauss' Sum
3. Cyclotomy
4. Primes in Arithmetic Progression: The General Modulus
5. Primitive Characters
6. Dirichlet's Class Number Formula
7. The Distribution of the Primes
8. Riemann's Memoir
9. The Functional Equation of the L Functions
10. Properties of the Γ Function
11. Integral Functions of Order 1
12. The Infinite Products for ζ(s) and ζ(s, χ)
13. A Zero-Free Region for ζ(s)
14. Zero-Free Region for L(s, χ)
15. The Number N(T)
16. The Number N(T, χ)
17. The Explicit Formula for ψ(x)
18. The Prime Number Theorem
19. The Explicit Formula for ψ(x, χ)
20. The Prime Number Theorem for Arithmetic Progressions (I)
21. Siegel's Theorem
22. The Prime Number Theorem for Arithmetic Progressions (II)
23. The Pólya-Vinogradov Inequality
24. Further Prime Number Sums
25. An Exponential Sum Formed with Primes
26. Sums of Three Primes
27. The Large Sieve
28. Bombieri's Theorem
29. An Average Result
30. References to Other Work