Multiplicative Number Theory [electronic resource] by H. Davenport.
Although it was in print for a short time only, the original edition of Multiplicative Number Theory had a major impact on research and on young mathematicians. By giving a connected account of the large sieve and Bombieri's theorem, Professor Davenport made accessible an important body of new disco...
| Uniform Title: | Graduate Texts in Mathematics,
2197-5612 ; 74 |
|---|---|
| Main Author: | |
| Corporate Author: | |
| Language: | English |
| Published: |
New York, NY :
Springer New York : Imprint: Springer,
1980.
|
| Edition: | 2nd ed. 1980. |
| Series: | Graduate Texts in Mathematics,
74 |
| Subjects: | |
| Online Access: | |
| Format: | Electronic eBook |
Contents:
- 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 ? Function
- 11 Integral Functions of Order 1
- 12 The Infinite Products for ?(s) and ?(s, ?)
- 13 A Zero-Free Region for ?(s)
- 14 Zero-Free Regions for L(s, ?)
- 15 The Number N(T)
- 16 The Number N(T, ?)
- 17 The Explicit Formula for ?(x)
- 18 The Prime Number Theorem
- 19 The Explicit Formula for ?(x, ?)
- 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.